The value of (\displaystyle\integral\_{\frac{\pi}{8}}^{\frac... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The value of $\displaystyle\int_{\frac{\pi}{8}}^{\frac{3\pi}{8}}\frac{sin^4x}{sin^4x+cos^4x}dx$ is equal to

A

$\frac{\pi}{4}$

B

$\frac{\pi}{8}$

C

$\frac{\pi}{16}$

D

$\frac{\pi}{2}$

E

1

Answer

$\frac{\pi}{8}$

Explanation

Solution

The correct option is (B): $\frac{\pi}{8}$