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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If m\mathrm{m} is an integer, then ∫0πsin⁡(2mx)sin⁡xdx\int\limits_{0}^\pi \frac{\sin (2 \mathrm{mx})}{\sin \mathrm{x}} \mathrm{dx} is equal to :
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Correct option: A
0
Option A (0) is correct because the integral evaluates to zero by using the property ∫0af(x)dx=∫0af(a−x)dx\int_0^a f(x) dx = \int_0^a f(a-x) dx and showing that the integral is equal to its negative.

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