What is the integral of x^2e^{ln(x)} ?

The integral of x^2e^{ln(x)} is (x^4)/4+C

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integral of x^2e^{ln(x)}

\int x^{2} e^{l n (x)} d x

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

Solution steps

\int x^{2} e^{l n (x)} d x

Simplify

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

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

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

Add a constant to the solution

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

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What is the integral of x^2e^{ln(x)} ?
The integral of x^2e^{ln(x)} is (x^4)/4+C