Question

For any natural number $m$, $\int\left(x^{7 m}+x^{2 m}+x^m\right)\left(2 x^{6 m}+7 x^m+14\right)^{1 / m} d x$, where $x>0$ equals

Accepted Answer

$\frac{\left(2 x^{7 m}+7 x^{2 m}+14 x^m\right)^{\frac{m+1}{m}}}{14(m+1)}+C$

Answer

$\frac{\left(7 x^{7 m}+2 x^{2 m}+14 x^m\right)^{\frac{m+1}{m}}}{14(m+1)}+C$

Answer

$\frac{\left(2 x^{7 m}+14 x^{2 m}+7 x^m\right)^{\frac{m+1}{m}}}{14(m+1)}+C$

Answer

$\frac{\left(7 x^{7 m}+2 x^{2 m}+x^m\right)^{\frac{m+1}{m}}}{14(m+1)}+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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