Integral of (sin(x)+cos(x))/sqrt(sin(2x)) (substitution)

[@IntegralsForYou]

✍🏼 integralsforyou.com ✍🏼 🔍 𝐀𝐫𝐞 𝐲𝐨𝐮 𝐥𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐩𝐚𝐫𝐭𝐢𝐜𝐮𝐥𝐚𝐫 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥? 𝐅𝐢𝐧𝐝 𝐢𝐭 𝐰𝐢𝐭𝐡 𝐭𝐡𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐬𝐞𝐚𝐫𝐜𝐡𝐞𝐫: ► Integral searcher 👉integralsforyou.com/integral-searcher 🎓 𝐇𝐚𝐯𝐞 𝐲𝐨𝐮 𝐣𝐮𝐬𝐭 𝐥𝐞𝐚𝐫𝐧𝐞𝐝 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝? 𝐅𝐢𝐧𝐝 𝐞𝐚𝐬𝐲, 𝐦𝐞𝐝𝐢𝐮𝐦 𝐚𝐧𝐝 𝐡𝐢𝐠𝐡 𝐥𝐞𝐯𝐞𝐥 𝐞𝐱𝐚𝐦𝐩𝐥𝐞𝐬 𝐡𝐞𝐫𝐞: ► Integration by parts 👉integralsforyou.com/integration-methods/integration-by-parts ► Integration by substitution 👉integralsforyou.com/integration-methods/integration-by-substitution ► Integration by trig substitution 👉integralsforyou.com/integration-methods/integration-by-trig-substitution ► Integration by Weierstrass substitution 👉integralsforyou.com/integration-methods/integration-by-weierstrass-substitution ► Integration by partial fraction decomposition 👉integralsforyou.com/integration-methods/integration-by-partial-fraction-decomposition 👋 𝐅𝐨𝐥𝐥𝐨𝐰 @𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮 𝐟𝐨𝐫 𝐚 𝐝𝐚𝐢𝐥𝐲 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥! 😉 📸 instagram.com/integralsforyou/

[@415jpx6]

This is very interesting. I never thought that you can expand 2sinxcosx as seen in the video. Thank you for teaching us how to evaluate this integral.

[@IntegralsForYou]

The sin(2x) trig identity is used more than expected in integration hehe 😊

[@OptimisticNihilist1244]

@@IntegralsForYou Yeah

[@ravindradixit146]

youtube.com/@mathgo-w8c?si=jgaDD1nWR7UrMV67

[@Bedoroski]

Really refreshing. Hope you would make more of these

[@IntegralsForYou]

I will! 💪

[@OptimisticNihilist1244]

Man I've learnt so much from you !

[@IntegralsForYou]

Thank you! 😊❤

[@hridayeshdas3182]

Tysm for the integration. This helped a lot for my exam :D

[@IntegralsForYou]

Glad it helped! Hope you passed the exam! ❤

[@thatfabana07]

There was a similar question to this which is integration of root tanx + root cotx which on simplification becomes the same

[@IntegralsForYou]

Integral of sqrt(tan(x))+sqrt(tan(x)) dx = integralsforyou.com/integrals?v=OcRAxCcmcwU 🙃

[@lonebrown968]

Intersting and fantastic explanation

[@IntegralsForYou]

Thank you! ❤

[@silentintegrals9104]

nice, solving integrals is so much fun 👌👌

[@IntegralsForYou]

It is! 💪

[@Chanda.moon15]

How did you expand 2sinxcosx?

[@IntegralsForYou]

Hi! It is a trigonometric identity: en.wikipedia.org/wiki/List_of_trigonometric_identities#Double-angle_formulae 💪

[@إلهاممنالقلبإلىالقلب]

Nice.intégrale tanks brother👍❤

[@IntegralsForYou]

Thank you! Enjoy the channel! 💪💪

[@kiit8337]

Bruh plzz make a super playlist and add all integrals involving hard trignometry plzz !!!

[@IntegralsForYou]

Hi! I did it in my website 😎 integralsforyou.com/integration-methods/integration-by-trig-substitution

[@kiit8337]

@@IntegralsForYou noo I need it in utube🥺🥺

[@IntegralsForYou]

@@kiit8337 kzbin.info/www/bejne/Z5PZm4GCmKyjfas 😉

[@kiit8337]

@@IntegralsForYou tnxxx dear 💕 ..

[@IntegralsForYou]

@@kiit8337 😊

[@jaken111]

Привет из узбекистана

[@IntegralsForYou]

Hi from Spain! 😉

[@Feministsiken3169]

Hi from turkey brother

[@IntegralsForYou]

@Hacamat Abi Hi! 😃

[@jaken111]

Спасибо за ролик, продолжай снимать, мне очень нравятся твои ролики ))

[@IntegralsForYou]

Thank you, I will! 💪

[@kiit8337]

@@IntegralsForYou plzzz integration tan ^4x.sec^3x ... By substitution method

[@HAHA-uz1oj]

hi can you help me with this. thanks! integral 2x+7 all over (x+1)^2 +4

[@IntegralsForYou]

Of course! Here you have the solution: Integral of (2x+7)/[(x+1)^2 + 4] dx = Substitution: u = x+1 ==> u-1 = x du = dx = Integral of (2(u-1)+7)/(u^2 + 4) du = = Integral of (2u - 2 + 7)/(u^2 + 4) du = = Integral of (2u + 5)/(u^2 + 4) du = = Integral of ( 2u/(u^2+4) + 5/(u^2 + 4) ) du = = Integral of 1/(u^2+4) (2u)du + 5*Integral of 1/(u^2 + 4) du = Substitution: t = u^2+4 dt = (2u)du = Integral of 1/t dt + 5*Integral of 1/(u^2 + 4) du = = Integral of 1/t dt + 5* kzbin.info/www/bejne/sImYhIaNibypa7c = = ln|t| + 5*(1/2)*arctan(u/2) = = ln|u^2+4| + (5/2)*arctan(u/2) = = ln|(x+1)^2+4| + (5/2)*arctan((x+1)/2) = = ln|x^2+2x+5| + (5/2)*arctan((x+1)/2) + C Hope it helped! ;-D

[@HAHA-uz1oj]

@@IntegralsForYou it helped! thank you so much!

[@IntegralsForYou]

@ha? hamada My pleasure! 💪

[@IntegralsForYou]

@@HAHA-uz1oj Better late than never: integral of (2x+7)/[4 + (x+1)^2] dx = kzbin.info/www/bejne/gXOqp6prbZVsiMk ❤

[@ffobliv]

@@IntegralsForYou dude remembered 😭

[@PRINCE-sb3wv]

hello sir i am first big fan from india and what about tutorials 😀😀😄😄

[@IntegralsForYou]

Thank you! 😊😊

[@AWKUM469]

Respected sir nice

[@IntegralsForYou]

😊

[@siddharth9668]

Hi can you please solve this integral in your upcoming video, (x^2 sinx)/(8 + sin^x) dx with limits from 0 to 2pi

[@Prince__mathi__]

Easy

[@hellllll]

Bhai ye new new q daily kaha se late ho ye bata do bs . Plz reply .

[@IntegralsForYou]

Hi! I don't understand hindi... If I am not wrong you are asking about my country, which is Spain 😊

[@kr1shna_23]

@@IntegralsForYou he's asking where do you get these questions from

[@IntegralsForYou]

@kr1shna Oh, well, in general I take them from the comments. When people ask me an integral I answer them in the comment and I add the integral to my "to do" list 😉💪

[@hellllll]

@@IntegralsForYou sorry i dont know, are u understand hindi Or not. But your work is so impressive. Because your videos helps .

[@hellllll]

@@IntegralsForYou one question only. In Spain same syllabus of maths. I think some different na

[@yuvrajsinghraghav8393]

Thanks

[@IntegralsForYou]

My pleasure! 💪

[@sakibulhasan864]

Loves from Bangladesh

[@IntegralsForYou]

Hi from Spain! 😀

[@Melek_OK.]

Muy interesante este ejercicio 👌👌📝📌📖

[@IntegralsForYou]

Gracias, Melek! La verdad es que sí, el modo de manipular esta integral para al final obtener una integral directa es muy interesante! 😊

[@Melek_OK.]

@@IntegralsForYou con este ejercicio tengo un as en la manga(⌐■-■) gracias!!!

[@IntegralsForYou]

@Melek ♠️♣️♥️♦️

[@k-vung6905]

I enjoy with this video thank you teacher💙

[@IntegralsForYou]

My pleasure! 💪💪

[@silentintegrals9104]

totally agree

[@nicogehren6566]

very nice

[@IntegralsForYou]

Thank you! 😊

[@btsarmy1553]

Sorry but I think the answer is wrong

[@IntegralsForYou]

Hi! No problem, I am human and I also make mistakes! But I need you to tell me more details, I need to see the error in order to correct it and re-upload the video 😉 Thank you for your help! ❤

[@justwork1351]

Thank yooouuuuuu

[@IntegralsForYou]

My pleasure! 😊

[@pankajkumar-ho3nu]

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[@СнежныйБарс-г2я]

172

[@IntegralsForYou]

😉

[@Hope-cw3dk]

Woow

[@IntegralsForYou]

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[@yunoewig3095]

lovely

[@IntegralsForYou]

Thanks! 😎