Question:
Write a value of $\int e^{3 \log x} x^{4} d x$.
Solution:
Consider $\int e^{3 \log x} x^{4}$
$e^{3 \log x}=e^{\log x^{3}}$
$=x^{3}$
$\int e^{3 \log x} x^{4}=\int x^{3} x^{4} d x$
$=\int x^{7} d x$
$=\frac{x^{8}}{8}+c$
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