The value of _ 1 ^ [7] 2 1 x (2 x^ 7 +1 ) d x is,
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of \[\int_{1}^{\sqrt[7]{2}} \frac{1}{x\left(2 x^{7}+1\right)} d x\] is,
- log \(\left(\frac{6}{5}\right)\)
- 6 log \(\left(\frac{6}{5}\right)\)
- \(\frac{1}{7} \log \left(\frac{6}{5}\right)\)
- \(\left(\frac{1}{12}\right) \log \left(\frac{6}{5}\right)\)
Answer
(D) ( 1 12 ) ( 6 5 )
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