An integral misses tangent

Calculus Level 4

∫0π2sin⁡2x3+2sin⁡x+2cos⁡xdx=arctan⁡1k\large \int_{0}^{\frac{\pi}{2}}\frac{ \sin^2x}{3+2 \sin x+2 \cos x} dx = \arctan \frac{1}{k}

Find the value of kk satisfying the equation above.

Tommy Li by Tommy Li
×

Problem Loading...

Note Loading...

Set Loading...