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

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

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

\int x ln (e^{x^{2}}) d x

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

Solution steps

\int x ln (e^{x^{2}}) d x

Simplify

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