Definite Integration Question 466

Question: $ \int _{-1}^{1}{{{\sin }^{3}}x{{\cos }^{2}}xdx=} $

[MNR 1991; UPSEAT 2000]

Options:

A) 0

B) 1

C) $ \frac{1}{2} $

D) 2

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Answer:

Correct Answer: A

Solution:

$ \int _{-1}^{1}{{{\sin }^{3}}x{{\cos }^{2}}xdx=0} $ , Since the function is an odd function.