Definite Integration Question 18

Question: $ \int _{0}^{\pi }{{{\cos }^{3}}xdx=} $

[MP PET 1996; Pb. CET 2002]

Options:

A) $ -1 $

B) 0

C) 1

D) $ \pi $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_0^{\pi }{{{\cos }^{3}}xdx=\int_0^{2.\frac{\pi }{2}}{{{\cos }^{3}}xdx=0}} $ , $ {\because {{\cos }^{3}}(\pi -x)=-{{\cos }^{3}}x} $ .