Offline paper
Mathematics · 2013
JEE Main 2013 · 2013-04-07 Offline · Q16
Statement - I: The value of the integral ∫_π / 6^π / 3 (d x)/(1+√(tan x)) is equal to (π)/6. Statement - II: ∫_a^b f(x) d x=∫_a^b f( a + b -x) d x.
Statement - I :
The value of the integral $\displaystyle \int_{\pi / 6}^{\pi / 3} \frac{\mathrm{~d} x}{1+\sqrt{\tan x}}$ is equal to $\displaystyle \frac{\pi}{6}$.Statement - II :
$$\int_{\mathrm{a}}^{\mathrm{b}} f(x) \mathrm{d} x=\int_{\mathrm{a}}^{\mathrm{b}} f(\mathrm{a}+\mathrm{b}-x) \mathrm{d} x .
$$
Official answer
(1)
Statement - I is false ; Statement - II is true.
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.