∫ x sin x dx, x ∈ [0, π/2] is equal to A. π/4 B. π/2 C. π D. 1

Question

\(\int\limits_{0}^{\pi/2} \) x sin x dx is equal to

A. π/4

B. π/2

C. π

D. 1

Answer 1

Correct option is D .1

Given, \(\int\limits_0^{\pi/2}x\,sin\,xd x\)

= 0 + (1 - 0)

= 1