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

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

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integral of (e^{3ln(x)})/x

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

\frac{x ^{3}}{3} + C

Solution steps

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

Simplify

\frac{e ^{3 l n (x)}}{x} : x^{2}

= \int x^{2} d x

Apply the Power Rule

= \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{x ^{3}}{3} + C

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