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).