The value of $\mathop \smallint \limits_1^{\sqrt[7]{2}} \,\,\frac{1}{{x\,\,\left( {2{x^7}\,\, + \,\,1} \right)}}\,\,dx$, is

$6\,\,\log \,\,\left( {6/5} \right)$

$\left( {1/12} \right)\,\,\log \,\,\left( {6/5} \right)$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \limits_1^{\sqrt[7]{2}} \,\,\frac{1}{{x\,\,\left( {2{x^7}\,\, + \,\,1} \right)}}\,\,dx

, is

View answer and explanation

Correct option: C

\left( {1/7} \right)\,\,\log \,\,\left( {6/5} \right)

Option C (

\left( {1/7} \right)\log \left( {6/5} \right)

) is correct because the integral is solved by using a substitution to simplify the expression.

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