Statement I The value of the integral [2013 JEE Main] is equal to

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Statement I The value of the integral [2013 JEE Main] ∫π/6π/3dx1+tan⁡x\int_{\pi/6}^{\pi/3} \frac{dx}{1 + \sqrt{\tan x}} is equal to π/6\pi/6. Statement II ∫abf(x) dx=∫abf(a+b−x) dx\int_a^b f(x)\,dx = \int_a^b f(a+b-x)\,dx (1) Statement I is true; Statement II is true; Statement II is a true explanation for Statement I (2) Statement I is true; Statement II is true; Statement II is not a true explanation for Statement I (3) Statement I is true; Statement II is false (4) Statement I is false; Statement II is true

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