Definite Integration Question 478
Question: $ \int _{-3}^{3}{\frac{x^{2}\sin x}{1+x^{6}}dx=} $
Options:
A) 4
B) 2
C) 0
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \int _{-3}^{3}{\frac{x^{2}\sin x}{1+x^{6}}}dx=0 $ . By the property of definite integral, $ \int _{-a}^{a}{f(x)dx=0} $ , when $ f(x)=-f(-x) $ .