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Definite Integration question

2013 · Shift 0 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2013 · Shift 0 · Q32

Definite Integration question

2013 · Shift 0 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Statement-1 : The value of the integral

\int\limits_{\pi /6}^{\pi /3} {{{dx} \over {1 + \sqrt {\tan \,x} }}}

is equal to

\pi /6

Statement-2 :

\int\limits_a^b {f\left( x \right)} dx = \int\limits_a^b {f\left( {a + b - x} \right)} dx.

A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C
Statement- 1 is true; Statement-2 is False.
D
Statement-1 is false; Statement-2 is true.

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