∫ (sin^61 x+ x^123)dx=?, x ∈[-π,π], A. 2π B. 0 C.π/2 D. 125π

Question

Mark against the correct answer in the following:

\(\int\limits_{-\pi}^{\pi}(sin^{61}x+x^{123})dx=?\)

∫ (sin⁶¹x+ x¹²³)dx=?, x ∈[-π,π]

A. 2π 

B. 0 

C.\(\cfrac{\pi}{2}\) 

D.125π

Answer 1

Correct answer: B. 0

If f is an odd function,

so there integral is zero.