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} $ .