e^ 5 x d x is equal to - Vidyadip

Question

$\int e^{5 \log x} d x$ is equal to

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Answer

$\text {Let } I=\int e^{5 \log x} d x$
$=\int e^{\log x^5} d x=\int x^5 d x \quad\left[\because e^{\log x}=x\right]$
$=\frac{x^6}{6}+C$

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