What is the integral of e^{4*ln(x)} ?

The integral of e^{4*ln(x)} is (x^5)/5+C

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integral of e^{4*ln(x)}

\int e^{4 \cdot l n (x)} d x

\frac{x ^{5}}{5} + C

Solution steps

\int e^{4 l n (x)} d x

Simplify

e^{4 l n (x)} : x^{4}

= \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5}}{5} + C

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