∫ − 1 1 sin 11 x d x is equal to, 11 10 , 9 8 , 7 6 , 5 4 , 3 2 , 11 10 , 9 8 , 7 6 , 5 4 , 3 2 , 2 π , 1, 0

Since f ( x ) = sin 11 x is an odd function, therefore ∫ − 1 1 sin 11 x d x = 0

∫ − 1 1 sin 11 x d x is equal to

Question: Answered & Verified by Expert

$\int_{-1}^1 \sin ^{11} x d x$ is equal to

MathematicsDefinite IntegrationJEE Main

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

Solution:

2781 Upvotes Verified Answer

The correct answer is: 0

Since $f(x)=\sin ^{11} x$ is an odd function, therefore $\int_{-1}^1 \sin ^{11} x d x=0$

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