Definite Integration Question 498
Question: $ \int _{-1}^{1}{{{\sin }^{11}}xdx} $ is equal to
[MNR 1995]
Options:
A) $ \frac{10}{11}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3} $
B) $ \frac{10}{11}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3}.\frac{\pi }{2} $
C) 1
D) 0
Show Answer
Answer:
Correct Answer: D
Solution:
Since $ f(x)={{\sin }^{11}}x $ is an odd function, therefore $ \int _{-1}^{1}{{{\sin }^{11}}xdx}=0 $ .
BETA
