Triple Integral | Integral Calculus | Multivariable Calculus | Volume By Triple Integral

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This video lecture of Triple Integral | Integral Calculus | Multivariable Calculus | Volume By Triple Integral | GP Sir | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Multivariable Calculus ?
2. What is Triple Integral & How to find Volume By Triple Integral ?
3. How to evaluate volume by triple integral ?
4. Triple integral is part of Integral Calculus
#TripleIntegral #IntegralCalculus #MultivariableCalculus #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
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Time Stamp
0:00 - Anintroduction
1:26 - Q1.
7:25 - Q2.
11:18 - Q3.
14:56 - Q4.
18:38 - Conclusion of video
19:28 - Detailed about old videos
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[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

[@sumansaurav4008]

Sphere k case me over positive octant me evaluate krne ko bola jaaye to limits kya hoga?

[@afsarpotlan001]

Thank you sir 🙏 Can you please give me the answer of this que. --Q. find the volume common to the sphere x²+y²+z² = a² and the cylinder x²+y² = ax. Please Please Please Please 🙏🙏

[@abhaychourasiya4736]

That "tak tak " When chalk hits board reminds my school days 😍

[@pankajpankaj-re8tq]

🤣🤣🤣

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Same

[@user-kl4jm4df8e]

😬🙂

[@ravirana7690]

😢

[@jyotichaubey9851]

Sir you are the best ever teacher I've ever met sir🙏🏻

[@bhutharajushiva5048]

Thank you sir ,really thank you,u have cleared all my doubts 🙏🏻

[@TusharKumar-iu4nt]

I had a problem with putting the limits and i was really confused putting the limits but after this video I am clearly able to solve much tougher questions with ease and conclude the limits in a matter of seconds...... I will be watching all your videos sir,..... Great work....

[@dragonoticshots757]

U r so calm confident and smooth. U have really sharpen ur skills . It shows ur Passion.

[@ashutoshpandey1514]

Sir you are super hit.......sab etna Esay Samjh aa gaga

[@KartikHatwarJE]

Thank you very much SIR , you really help a lot in my end sem thanks.

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Sir great work, your explanation of mathematics is very good

[@kunalvijay7646]

Thank u Sir. The Video was Amazing.

[@harshsharma6332]

You are Great sir Thanks for lacture Sir changing cartesian to polar form ka lecture bhi bna dijiye

[@soumyodiptakarmakar2916]

Thank you Sir for the video.

[@mohmmadafsar5874]

Thank you sir 🙏 Always helpful.

[@ronysedits2866]

Thank you very much sir I will always study from your video.

[@sanjeevkumar-hh7dm]

Very good idea about putting limiting value,

[@raviranjan1084]

Your video is dominating over other teacher thanks sir for teaching us

[@abdullatifmansuri5916]

Thank you💕

[@pratyushtripathi1728]

Thank you so much sir ji 🔥🔥🔥🔥

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Thank you sir...🙏🙏

[@babansahani9286]

You are best Sir thanku so much

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Thankyou so much sir😊

[@sumitpawar5821]

best math teacher 👌 👏 🙌

[@vstudyknowledgepoint2596]

Bahut achhe sir very enjoy in tripple integral

[@raghavendrakumarsingh4646]

this video helps a lot

[@ShivamTech18]

Thanks a lot sir.....

[@Varunkumar-mg7gu]

Thankyou sirji

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Thanks lot

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Thank you so much sir

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Love You Sir ❤️

[@casio7520]

Thank you sir

[@mdasifnawaz1805]

Thanks you sir problem solve ho gyaa

[@Rakeshkumar-jf4ty]

Very nice sir thank you so much sir 🙏 🙏

[@helpdesk6917]

i really appreciate ur effort

[@waseenktk7929]

Sir g jb integrand tripple function ho to s ka integration ks tarah solve hota hi

[@technicalguptaji173]

Thanks sir 👌

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Thankyou sir

[@SakshiKumari-ud6hz]

Thanku very much sir ur videos motivate us to understand the real facts in very easily way 🤗

[@bankingcontestentsatyam5794]

Superb sir.........

[@djgoswami360]

Actually sir, we are taking the limits with the help of equations blindly but there must be some questions in which we are not able to find the limit in this manner like these previous questions in your lectures. So in that case what we will do sir? Geometrically how to find the limits I think it's most important.

[@ihateracistandblackpeople4272]

Bro u cant handle 3D geometricaly on paper that's why that's all u can do

[@kamyaverma3010]

Thanku sir.....

[@Mer786]

Thanku so much sir for lecture🙏🙏..and sir plz double integral topic pr vi videos bnaayee

[@parvejreyan3547]

My real Hero Dr. Gajendra Purohit sir Great sir thank you so much 😊

[@2-12_TimePass]

Triple integral more easier than double integral. Thanks sir

[@NazmulHasan-th5co]

ধন্যবাদ❤️

[@mehoolbanthia4185]

Sir please Assignment Problem par video banao.

[@ArshDeep-pd8dg]

Find the volume using triple integral of the region between the cylinder z = y2 and the xy-plane that is bounded by the planes x =0,x=1,y = −1,y=1

[@rounaknag68]

Is the answer 2/3? I done by taking equation of xy plane as z=0

[@helpdesk6917]

great sir

[@RanjanaArya-vd6zn]

Great sir

[@shivanikeshri2921]

Sir plz make video on triple integration in cylindrical and spherical coordinate

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No One Like You Sir You are Genious 💥

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Sir real analysis par video bnaye plz

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Sir linear algebra par bhi video banaiye like vector space, basis, dimensions, linear transformation

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Plz make video on higher calcus bsc

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Sir is this short trick also be applicable on ellipsoid

[@HARRY-tr1ko]

Sir I think u could use polar coordinates

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Sir cylindrical and spherical coordinate k upr b video bnaiye plzz...

[@inamullah8350]

Sir I am imprsve of you

[@gauravgogoinitsilchar4146]

sir z ka toh limit 4-y se zero bhi jaa saakta tha naa!!??

[@invisiblevoice7820]

0 is lower limit.

[@SurajSingh-iz9wl]

Sir please also complete bsc part 1 discrete mathematics

[@govind22703]

Sir mass and centre of gravity pe video bnao please

[@afsarpotlan001]

Thank you sir 🙏🌹 Can you please give me the answer of this que. --Q. find the volume common to the sphere x²+y²+z² = a² and the cylinder x²+y² = ax. Please Please Please Please 🙏🙏

[@sumitdhawan717]

Sir i am telling you even or odd function ko ignore krke bhi ans same aayega kya?

[@PankajYadav-ew6lt]

Sir cylinder ke liya video bnaye please sir

[@gurleensingh4152]

Sir sometimes I don't understand whether the function is odd but i integrate it, and the answer is different sir plzz help me in that case. As we know in odd function the integral part is 0 so there is no need to integrate it but sometime it skip from brain and the answer is different.

[@sachin_903]

Mast padato ho sir

[@ishajain1083]

If 2 parametric equations like, x = a(cost)^3 and y = b(sint)^3 are given, then how do we find bounded region within them?

[@invisiblevoice7820]

See sir's last video.

[@anshulsihmar19]

Sir in fourth question you did a mistake at 17:30 by cancelling (4-x²)/2 but as there is minus in lower limit so they will be added there is a sign mistake and the final answer will be 16π-32/3

[@shubhanshupatel7741]

Ha bro mera bhi yhi aa rha hai

[@harshitknows7]

Yes

[@divyanshmishra9586]

Thank u a lot sir for your help in making maths easy for those who thinks it hard

[@PradipKumar-lh1mx]

Sir y+z se y ki limit nhi nikal sakte hai kya q4 me

[@abhijitmanna4524]

one question in last integration can't i take 4 common and put limits from 0 to 2 for x, 0 to root of 4-x^2 for y and 0 to 4-y limit for z and then integrate ?

[@ManpreetKaur-ry3vz]

For an odd function if we integrate from -a to a , we get 0. For an even function, we can write integration from -a to a is 2 times integration from 0 to a. Answer to your question is 'No' , because when we solve for z , we get (4-y); Now we have to integrate it wrt y from -sqrt(4-x^2) to sqrt(4-x^2) . If you look carefully, 4 is an even function and y is an odd function. Overall the function 4-y is neither even nor odd. But we can use the linearity property of integration to write integral (4-y) = integral (4) - integral (y). Integral(y)=0; Integral (4) from -sqrt(4-x^2) to sqrt(4-x^2) = 2* integral(4) from 0 to sqrt(4-x^2). Solve it further and you will get the correct answer. Hope it helps!

[@DeepakKumar-ei2gu]

Sir isme mathematics optional ke all chapters cover kraoge sir please tell me

[@Mohitmk4u]

Thank you so much sir Your videos help me lot !

[@RockStar-fv5sn]

Sir double integral me Jacobin k through banaye confusion rahta hai please

[@RockStar-fv5sn]

Sir double integral me u & v vala question banaye please😫🙏🙏💓🙏

[@pankajlakhara208]

Sir upsc ke liye .. Optional paper mathematics ki series start kijye.. KZbin per

[@waseenktk7929]

Sir g i really appreciate u

[@kunalagrawal3708]

hn pta hai kitna acche se playlist ko topic wise arrange kia hua hai triple integration mai coronavirus ki video daali hui hai series ans sequence ki video daali hui or phir bante ese hai

[@user-xk7jn8jr7z]

Sir pls make video on sphere...pls......🙏🙏🙏🙏🙏🙏🙏

[@user-xk7jn8jr7z]

Sir sphere ke uppar video banao pls....

[@janhvinarayan1633]

sir vo last question me y ki limit z ke terms me kyun nahi nikali plane ki equation se, sir pata kese chalega ki kis variable ki limit kis equation se nikalni hain

[@abloveforeverstatus1946]

sir are coaching for UPSC CSE aspirant? I am from Gujarat

[@vaisakh1994]

In the last question to find the volume of cylinder x^2+y^2=4, why you are not multiplying the volume by 8 first???

[@user-wh7xl5uz8e]

Coz limit of z is already zero.... U can multiply by 2x2 instead of 2x2x2

[@sheikhfarhan9446]

sir i think apny 2nd integral me dy ki jaga pr dx nhi lgana tha? q k hm integrate w.r.t y kr rhy hain tu dy khtm ho jaye ga

[@original_gangsta_]

Sir volume cube units mai kyu nahi hai. Square mai kyu hai? In the second example...

[@SN1638]

❤❤❤

[@anuragpaul6120]

In the last question can't we change the limit from 0 to root 2²-x square and 0 to 4 - Y… as we did in the previous questions? And take 4 outside

[@anuragpaul6120]

0 to root 2²-x²

[@ritikanain2760]

sir can you tell how to find the volume of a sphere with centre (1,2,3) and radius 1 using triple integration?

[@Sibasish07]

Easy hai, use spherical coordinates

[@abcd-ld7rj]

@@Sibasish07 isme r, theta, phi ki limits kya hongi???

[@khushdevyogi6511]

Since it is a sphere u can shift it at origin 😂 and them solve in simple way

[@khushdevyogi6511]

Or we can write the equation of sphere with centre( 1,2,3) and then put limits of xyz accordingly

[@Aryan-yn7tz]

2nd Example, integration of 1/(a^2-x^2) is 1/(2a) *log (a+x) /(a-x).

[@allinonemoviesyt]

16:48 sir aapne bola ki vo odd function h to integration zero aayegi but zero to aayi nhi

[@005civ_ibrahimsalaria2]

How do we know when to put 2 for all even or odd?

[@razasahil07]

When limit for an integral is from -a to a , then integral = 0 when function is odd and when function is even then , integral = 2 × earlier integral from limit 0 to a. Ps:. You can find whether a function is even or odd by putting -1 inside the variable of the function , if - sign pops out of the function then function is odd and vice versa . If u like my explanation then subscribe to my channel😁

[@Rahulpramanik1858]

Sir niche wala question ka limit kaise nikalenge

[@reubenx]

12:34 pls someone explain how x is equal to a

[@logicaldomain3272]

why was the intigration of that odd function not zero ?16:48

[@rutikingole1354]

❤❤❤❤

[@user-wh7xl5uz8e]

Sir in the last problem u put 4/2 it should be 2/2

[@champaklal115]

Can anybody tell me how dxdydz is even function in question 1 where we used definite integral rule.

[@champaklal115]

At 2:57 in the video

[@dreamasossc]

definte integral ka property laga ke - walo ke jagah 0 aaya ke jagah 0 aaya