Integrate It Man!

Calculus Level 4

I = ∫ 0 2 π ( x sin ⁡ n x sin ⁡ n x + cos ⁡ n x ) d x \large I = \int_{0}^{2\pi} \left(\dfrac {x\sin^n x}{\sin^n x + \cos^n x}\right) \, dx

Find 2 I 2I .

For your final step, use the approximation π = 3.14 \pi =3.14 .


The answer is 19.7192.

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Md Zuhair by Md Zuhair , 20, India

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1 solution

Not a good solution but....you can directly plug n=2 and solve the easy integral of xsin^2x from 0 to 2pi.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Or let n=0 and take an even easier integral of x^2/2 lol!

Yashas Ravi - 7 months, 1 week ago

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