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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫0πdx1+2tan⁡x\int\limits_{0}^\pi \frac{d x}{1+2^{\tan x}} is equal to
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Correct option: C
π2\frac{\pi}{2}
Option C (π2\frac{{\pi}}{{2}}) is correct because using the property ∫0af(x)dx=∫0af(a−x)dx\int_0^a f(x) dx = \int_0^a f(a-x) dx simplifies the integral to π2\frac{{\pi}}{{2}}.

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