Practicing Success
Practicing Success
CUET Preparation Today
| What is the value of $\int_{0}^{\pi/4}\frac{\sin x\cos x}{\cos^4 x+\sin^4 x}dx$? |
$\pi/4$ $\pi/8$ $\pi$ $-\pi$ |
| $\pi/8$ |
| $I=\int_{0}^{\pi/4}\frac{\tan x\sec^2 x}{1+tan^4 x}dx$. Now let $\tan^2x=t$ then the integral transforms to $1/2\int_{0}^1\frac{1}{1+t^2}dt=\pi/8$ |
