$\mathop \smallint \nolimits_2^k \,\,\left( {2x + 1} \right)\,\,dx = 6$, then $k$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_2^k \,\,\left( {2x + 1} \right)\,\,dx = 6

, then

k

is equal to

View answer and explanation

Correct option: D

\mathrm{3}

Option A (

\frac{1}{2}\log \tan \left( {\frac{x}{2}\\ + \\ \frac{\pi }{{12}}} \right) + c

) is correct because the integral can be solved by rewriting the denominator and using trigonometric identities.

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