Definite Integration Question 21
Question: $ \int _{-3}^{3}{\frac{x^{2}\sin 2x}{x^{2}+1}dx=} $
Options:
0
1
C) $ 2{\log _{e}}3 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Obviously the function $ \frac{x^{2}\sin 2x}{x^{2}+1} $ is even, so $ \int _{-3}^{3}{\frac{x^{2}\sin 2x}{x^{2}+1}}dx=2\int _{0}^{3}{\frac{x^{2}\sin 2x}{x^{2}+1}}dx $ .
BETA
