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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫−ππcos⁡2x1+axdx,a>0\int\limits_{{-\pi}}^\pi \frac{\cos ^2 x}{1+a^x} d x, a > 0, is
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Correct option: B
π2\frac{\pi}{2}
Option B (π2\frac{\pi}{2}) is correct because using the property ∫−aaf(x)dx=∫−aaf(−x)dx\int_{-a}^a f(x) dx = \int_{-a}^a f(-x) dx simplifies the integral.

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