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Popular >

integral of 10xex^2

Solution

\int 10 x e x^{2} d x

Solution

\frac{5 e x ^{4}}{2} + C

Solution steps

\int 10 x e x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 10 e \cdot \int x x^{2} d x

Simplify

x x^{2} : x^{3}

= 10 e \cdot \int x^{3} d x

Apply the Power Rule

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

= 10 e \frac{x ^{4}}{4}

Simplify

10 e \frac{x ^{4}}{4} : \frac{5 e x ^{4}}{2}

= \frac{5 e x ^{4}}{2}

Add a constant to the solution

= \frac{5 e x ^{4}}{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of 10xex^2 ?
The integral of 10xex^2 is (5ex^4)/2+C