Tricky Calculus Question II

Calculus Level 4

π2π2k1+cos(a)sin(x)dx=πsin(a)\large \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{k}{1+\cos(a)\sin(x)}dx= \frac{\pi }{\sin(a)}

The equation above holds true for constants aa and kk. Find kk.

Note: Consider 0<a<12π0 < a < \tfrac12\pi.

×

Problem Loading...

Note Loading...

Set Loading...