Integral of (1-2x)*e^arctan(x)/(1+x^2)^2 (by parts)

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Integral of (1-2x)*e^arctan(x)/(1+x^2)^2 - How to integrate it by parts step by step!

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𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts

► Integration by substitution

► Integration by trig substitution

► Integration by Weierstrass substitution

► Integration by partial fraction decomposition

𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮

𝐃𝐨𝐧𝐚𝐭𝐞

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👋 Follow @integralsforyou for a daily integral 😉

𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts

► Integration by substitution

► Integration by trig substitution

► Integration by Weierstrass substitution

► Integration by partial fraction decomposition

𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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IntegralsForYou

Sir, I have problem in first step.

How you write
Integration of (1-2x) * e^arctanx / (1+x^2)^2 dx = Integation of e^arctanx / (1+x^2)^2 dx - Integration of e^arctanx * 2x / (1+x^2)^2 dx

Please help me sir.

shivpandey

Thank you Sir .😊 Your videos help me a lot. Sir could you tell me one thing about this question = Integral of 1/[sqrt(x+1)+(x+1)^(1/3)] dx
. In my book they've used the substitution like this t=(x+1)^(1/6) . I'm confused why did they use the power ^1/6?

The answer given is
2(x+1)^(1/2) - 3(x+1)^(1/3) + 6(x+1)^(1/6) - log[(x+1)^(1/6) +1] +C

I'm just confused about this substitution.

Kajal-jfwk

Hello
Can you solve ∫(x+1)/(sinx-5cosx) dx please?.I tried a lot but I couldn't figure out😅

youtubeaddict

I´ve fell in love... with math of course

mmgm

Integral of x/1+sinx can you help me please

Guyyss_hh

No need for integration by parts, let u=e^arctanx / 1+x^2, everything will cancel out nicely

itaycohen

Can you help me with this?
Integral of

anahisalinas

Hii
Can u please let me know that how did u find out the value of v as
V=-1/1+x^2

deepakkumarthakur

👏(☞ ͡° ͜ʖ ͡°)☞ te la sacaste... interesante 📝👌

Melek_OK.

Integral of (1-2x)*e^arctan(x)/(1+x^2)^2 (by parts)

Integral of (1-2x)*e^arctan(x)/(1+x^2)^2 (by parts)

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