Question

The value of \(\sum_{n=1}^{10} \int_{-2 n-1}^{-2 n} \sin ^{27} x d x+\sum_{n=1}^{10} \int_{2 n}^{2 n+1} \sin ^{27} x d x\) is equal to
(A) 27
(B) 54
(C) \(-54\)
(D) 0

Answer 1

Ans: (D)
Hint \(:-\sum_{n=1}^{10} \int_{2 n}^{2 n+1} \sin ^{27} x d x+\sum_{n=1}^{10} \int_{2 n}^{2 n+1} \sin ^{27} x d x\) \(=0\)

Answer 2

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