JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of the integral

\int_{-\pi}^\pi \sin m x \sin n x d x

for

m \neq n(m, n \in I)

View answer and explanation

Correct option: A

Option A (0) is correct because the integral of

\sin mx \sin nx

over

[-\pi, \pi]

is zero when

m \neq n

due to orthogonality.

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