Definite Integration Question 76

Question: The value of $ \int _{-\pi /2}^{\pi /2}{(3\sin x+{{\sin }^{3}}x)dx} $ is

[MP PET 2003]

Options:

A) 3

B) 2

C) 0

D) $ \frac{10}{3} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ I=\int _{-\pi /2}^{\pi /2}{(3\sin x+{{\sin }^{3}}x})dx=0 $ , (Q Function $ (3\sin x+{{\sin }^{3}}x) $ is an odd function).