Integration Challenge!

Calculus Level 5

$\large \int_0^{2\pi} \dfrac{ \cos nx }{1+2a\cos x + a^2} \, dx$

Let $a^2<1$ and $n$ be real constants. Find the value of the integral above in terms of $a$ and $n$ .

\frac{2\pi a^n}{1-a^2}

0

\frac{2\pi a^n (-1)^n }{1-a^2}

\frac{a^n}{1-a^2}

1 solution

Saail Narvekar
May 18, 2016

Nice one! But I request you to make it more better by using Latex where u can learn from Latex Guide

Samara Simha Reddy - 5 years ago

I have posted questions for 1 st time so had no idea about it! thanks for suggesting @Samara Simha Reddy

Saail Narvekar - 5 years ago

You Better learn it from that Guide. Its easier than you think!

Samara Simha Reddy - 5 years ago