14. Surface Integrals | Problem#1 | Complete Concept | Vector Calculus

[@aryanrathore1790]

the formula to be used is sin(3t)=3*sin(t)-4*sin^3(t)

[@being_stark]

It's been 4 years ...is your engineering completed?

[@prayasiitwallah2192]

​@@being_stark😂

[@monuinsa5166]

sin3x: 3sinx-4sin(cube )x

[@MustafaAhmed-pr1mr]

Add more problems on surface integral sir. Thank you

[@marshalsaren1112]

Sin^3 X= Sin^2 X . Sin X = (1-Cos^2 X) . Sin X Then use D-Method to calculate the integration

[@afk1.0]

What is D method?

[@sushmakoorapati8181]

Thank you so much sir ,you really helped me a lot but you will get sin^2(t) but not sin^3(t) in the problem

[@being_stark]

It's been 4 years ...is your engineering completed?

[@AyushSur-s3s]

yes, and the ans is 24pi

[@Akshat_Pandey17]

i think she got back in some subjects😂😂

[@SaurabhKumar-yt7sz]

Sir u should upload more questions regarding the topic....it would be a great help

[@_umesh_sahu_27]

Sir while calculating S3 you have written the wrong formula. Instead of writing F= 4xi - 2yj + z^2k you have written F=4xi - 2y^2j + z^2k

[@tanujjassal2688]

Bro..sb thik hn...just F(vector) ki value chnge kr de....y ka square kr d....okay

[@Haka_132]

@@tanujjassal2688 then answer ... 36 pi .. ayega na

[@QaisarAli-fl3th]

Y squre kio kry in s3 m

[@shyamverma2316]

Thanks for this video sir God bless you

[@nandanikharwar941]

thank u so much sir...🙏🙏🙏☺️ keep it up

[@karandewangan4228]

Bahut achha raha sir tq

[@arnabbhattacharya7772]

Sir tu si great hoo.

[@rohanroy8770]

The answer will be 132 pi Thank you very much sir.

[@medha5915]

Sir plz cover all the topics surface and volume integral is missing as I totally depend on ur video lecture in complex no separation method is also missing...

[@saurabhdesai7204]

Yess...

[@abhipatil1]

Excellent

[@chomonchoudhury4518]

Sir.. Please upload more question regarding the topic ...

[@creativemind1669]

This problem can be done easily by projection method.

[@afk1.0]

Which method is this?

[@abhishekkr8077]

Sin3 Thita odd function and limit v 0 to 2pi so value is 0

[@latifmuhammad8874]

.... instead of 84π. I also did one triple "snake" owing to Gauss' theorem

[@babulkumari4421]

thanks sir app bhut acche se samjhte ho

[@alifsheikh4163]

thank you sir

[@Noone-hf9kp]

sir why are making only 1 or 2 tutorial for theorems. please upload 4 at least for more clarification.

[@sandeepchoudhury2480]

Very good vdo sir.. Make more video on surface integral plz

[@Pujakumari-zw3ux]

More problems on this please. which book to refer for problems questions??😶😶😶

[@pratikpankaj6645]

Sir ap kamal ho

[@FarCryStar]

How did you put the value of r=2. Please let me know sir

[@notmeagn]

pen se😌

[@funfacts9544]

Sir this question can easily be solved with gauss divergence theorem

[@Taksheel_ethnic]

sir u made super vedios,,,very helpful,,,,,,,,one request please tell that formula

[@nirjhorkhan2479]

ha ha ha

[@monuinsa5166]

sin3x=3sinx-4sin(cube ) x

[@Vivek-lu4eq]

Sin(3x) = 3sinx - 4sin³x

[@Wraith28]

very nyc

[@SM-ge3zk]

Great Video Sir, thnks but it will be more helpful if your reduce the adds in the video, adds break the flow of understanding. I know adds are necessary but pl try to reduce them. Otherwise your teaching is excellent. Thanks

[@niteshsaini408]

thanks sir

[@akhriechusi5067]

why did we use grad F for calculating surface 3

[@onlyhug2902]

Grad F is for calculating the n^ unit vector

[@suchisingh578]

Thik hai

[@meghajoshi1424]

Thankyou so much helpful video

[@isha_dam]

Sin³x=3sinx-sin3x/4

[@amanraj9204]

Thank you Sir 🤗

[@pratyushkesharwani2179]

Sir sin^3=sin^2×sin and put sin^2 = 1-cos ^2 and cosx be a 't'

[@skn-fo3he]

In definite integral F(b)=F(a) so entire integral value will be zero

[@HarshKumar-vr5jd]

Thankyou sir for this question

[@ramanshuyadav6203]

We can also use reduction formula

[@ananyaprakash8218]

how??

[@ramanshuyadav6203]

@@ananyaprakash8218agr apne reduction formula pdha hai ek sin ki power n ka general formula hota h use apply kr de Vrna sin3x use krle Ya Ilate rule use kre

[@husaingaur9485]

Sir sin^3x k liy odd even function lg rha h nd sin^3x odd function h to ye 0 hoga

[@poulamikarmakar3759]

Surface Integration k upar aur kuch examples do sir please

[@ManjeetKumar-jt2ud]

Sir,How to change ds into polar coordinatesplease tell

[@gauravsagar5718]

Sin^3 theta is an odd FN and by graph its value is 0

[@babitaverma196]

Sin^3@=(3sin@-sin3@)/4

[@chittalalavanya4115]

Cos^n formula is =(-1)^n Sin^n formula is =0 ......this is the formula I think so........

[@sky-lb9ro]

Sir s3 me apne f bar ki value me 2 y ki jagah y ka square kardiya

[@vodasid1906]

Sir , for surface 3 the answer will be 96π

[@nehafatima8455]

for solving that u used reduction formula of sin

[@zaid2287]

can u tell me a thing

[@adarshroy615]

(3sinx-sin3x)/4

[@pritamgurung7879]

What if two variables be present in the z direction?

[@jatinvishwakarma6923]

It never be given because then you can not calculate the function of one in two given variables.

[@arnavmishra2155]

Sin^3(x)={sin(3x)+3sin(x)}÷4

[@Vivek-lu4eq]

Yeah mine was also to be same.

[@navkaransinghbrar4380]

At 14:32 time u took dS = r dz d(theta) Can u explain why ? ☺️

[@tansweewaitan4581]

it was used on the curved surface, but seems the lecture wrote a wrong y-component, it should be -2y (not -2y^2 !)

[@navkaransinghbrar4380]

Tansweewai Tan yes I also read that when we take projection on XY plane then ds = dx.dy / | n.k|

[@tansweewaitan4581]

dS is for two possible case: 1) If on the flat ends ds=rdrd(theta); 2) if on the curved surface , ds=Rdzd(theta), R=radius. obviously, in evaluating S3, we should consider as case 2.

[@tansweewaitan4581]

it means that in this problem when evaluate S3, it is easily to find out the integral of S3 when consider using polar coordiante as the case2 (see above)

[@ganpattibappamoriya1682]

navkaran singh agar aisa krange toh denominator ne 0 aa jayega n

[@sanatansahoolifestory2083]

THNK U SIR

[@xtremerider286]

Sin3θ = 3Sinθ - 4Sin³θ

[@arpitmishra27109]

Sin3x=3sinx+4sin^3x

[@sakshisingh-fg9iv]

sin3x= 3sinx-4sin^3x

[@tabishkhan3094]

This question is tough...any easier way.?

[@sabahatnaaz2457]

Sir upload some more videos on surface integral

[@VipinSingh-jf1ys]

sir apne s3 integral nikalte wqt vector F me y sq. liya h jbki ques me sirf y h isliye ans bhai galat aara h

[@mohit-deswal]

wo question me square hai,

[@angshumanganguly1150]

sin^3 x=sin x(1_cos^2 x)

[@KhansaShahnawaz]

(3sinx-sin3x)/4=sin^(3)x

[@mdimado]

😇

[@samsingh5296]

sir please upload more problems on this topic

[@yeeroj]

we will use formula of sin3x

[@sky-lb9ro]

Sir mai isme common nikalunga cos sq and sin sq aur cos2 thitha ka formula use karunga

[@ananyaprakash8218]

Sir, in the double integral, both limits are constants. So as told by you previously, the order of integration element (dz and d(theta)) is important. How do we decide that?

[@jatinvishwakarma6923]

In constant limit you can integrate with respect to anyone within given the limit

[@clashtm8210]

aap graduate ho gayi?

[@agamanmaddheshiya7780]

Odd function concept

[@aartigor3937]

Either explain properly from.where does polar form came

[@onlyhug2902]

Parametric forms Like we use "t" , "theta" etc. Give a go through to *Parametric forms*

[@abhishektiwari-mk4kc]

3sin theta-4sin^3theta

[@krishnankr4941]

Sir ji (sin@)cube kiye h . O kewl (sin@)square h

[@SeekTheTruthAndTruth]

Sin^3@=(1-cis^2@)sin@ d@ can be solved without any formula

[@sankalpgupta5259]

couldn't understand why we took -k and not +k ! ?

[@sankalpgupta5259]

please sir, explain.

[@yogesharora7861]

Nomal to the surface s1

[@webdeveloper-vy7hb]

Sankalp Gupta The direction of normal is Always indicating outward

[@gnquince]

web developer7475 you corrected definition that I went wrong.

[@bhaskarjyotideka6905]

Because of positive y axis and negative y axis

[@mukeshsamudwar9955]

Curl wala daliye

[@dileeshdaneti2768]

1/2B(m,n)=gamma(m).gamma(n)/gamma(m+n) using beta gamma functions

[@pechettivinay533]

I want surface integral of cube

[@kkmathspoint1231]

Why you go for biometric It's a circle or cylinder But when you have different what will be next step Sir kuch bhi kaho mjja na aaya

[@husaingaur9485]

Sir vo 2y h na k 2y^2

[@mohammedimtiyaz2410]

3sinx - 4sin^3x

[@mtqdmusic6823]

Es par or so numerical bra digiye sir

[@shristirai520]

Formula used is Sin3x =3sinx-4sin*3x And Sin*3x=3sinx-sin3x÷4

[@dolandtrump668]

Pass

[@aartigor3937]

Polar form k bina karte to sahi reheta

[@jassisingh8556]

Polar ke form bina limits m problem ni aaygi nikalne m?

[@aartigor3937]

@@jassisingh8556 then he should explain about polar form

[@yashwarhekarshorts9604]

34 rule formula

[@pratyushkumarjena8385]

Sir sin3thita value

[@konikathakur5134]

Sir n^ ki value +ve n -ve kaise leni smj ni ara

[@jatinvishwakarma6923]

X axis positive bhi Hoti hai negative bhi jiske respect me loge wo sign ho jayega

[@misskhanna4825]

4sin3thita-sin3thita

[@bobbybalodi6230]

Book ka Naam bhi Bata dijiye

[@shreyachaudhary4973]

Sir S1 surface k liye n^ -k kaise Hoga

[@zaid2287]

bcoz it is in the - ve direction

[@mukeshkumaryadav350]

euler

[@abhisahore4339]

Meri book meh is question ka answer 4π likha hai

[@zaid2287]

read my book

[@latifmuhammad8874]

.. and got 60π

[@yugankgoyal9094]

sir upr question me y tha y^2nahi

[@harshpatel2255]

343

[@sheetalhemram21]

Beta gamma formula

[@mysteriousfile5377]

Reply jrur krna

[@khagapatinayak3125]

Hello sir aapne gradient kyu nikale

[@mysteriousfile5377]

👎👎👎👎

[@edwardhartz1029]

Why put the title in English when it isn't the language you're speaking in the video? It's misleading and very annoying. If it is not in English, then put the title in the language you're using. Rant over.