The Little Monster Integral

Calculus Level 5

The following integral involving inverse trigonometric and trigonometric functions has a gee-whiz closed-form

0π2arccot1+sinθsinθdθ=παβ {\large\int_0^{\Large\frac{\pi}{2}}} {\rm{arccot}}\sqrt{\frac{1+\sin\theta}{\sin\theta}}\,\,d\theta={\large\frac{\pi^{\alpha}}{\beta}}

Find the value of α+β\large\alpha+\beta.

×

Problem Loading...

Note Loading...

Set Loading...