\[\integral\_{\frac{-\pi}{2}}^{\frac{\pi}{2}} sin^2xcos^2x(s... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

$\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} sin^2xcos^2x(sinx+cosx)dx=$

A

$\frac{2}{3}$

B

$\frac{3}{10}$

C

$\frac{4}{15}$

D

$\frac{5}{18}$

Answer

$\frac{4}{15}$

Explanation

Solution

The correct option is (C) $\frac{4}{15}$