Q. $\int_{\frac{\pi}{3}}^{\frac{\pi}{2}}{cosec^{2}x\ dx}$ is equal to
A) $- 1$
B) 1
C) 0
D) $\frac{1}{2}$
Explanation
(b)
$\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}{cosec^{2}x\ dx} = \left\lbrack - \cot x \right\rbrack_{\frac{\pi}{4}}^{\frac{\pi}{2}} = \left( - \cot\frac{\pi}{2} + \cot\frac{\pi}{4} \right) = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.