The value of _ - /2 ^ , /2 (3 x + ^3 x) ,dx is - Vidyadip

MCQ

The value of $\int_{ - \pi /2}^{\,\pi /2} {(3\sin x + {{\sin }^3}x)\,dx} $ is

A
$3$
B
$2$
✓
$0$
D
$\frac{{10}}{3}$

✓

Answer

Correct option: C.

$0$

c
(c) $I = \int_{ - \pi /2}^{\pi /2} {(3\sin x + {{\sin }^3}x} )\,dx = 0$,

( Function $(3\sin x + {\sin ^3}x)$ is an odd function).

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