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Popular Calculus >

integral of e^{3ln(x)}

Solution

\int e^{3 l n (x)} d x

Solution

\frac{x ^{4}}{4} + C

Solution steps

\int e^{3 l n (x)} d x

Simplify

e^{3 l n (x)} : x^{3}

= \int x^{3} d x

Apply the Power Rule

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of e^{3ln(x)} ?
The integral of e^{3ln(x)} is (x^4)/4+C