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Popular >

integral of xe^4

Solution

\int x e^{4} d x

Solution

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

Solution steps

\int x e^{4} d x

Take the constant out:

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

= e^{4} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of e^{3x^2}*x^3

\int e^{3 x^{2}} \cdot x^{3} d x

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\int \frac{1}{x ^{3} \cdot x ^{2} - 9} d x

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\int \frac{cos ( y )}{1 + sin ( y )} d y

integral of sin^3(t)cos^6(t)

\int sin^{3} (t) cos^{6} (t) d t

integral of 1/(z^2sqrt(z^2-4))

\int \frac{1}{z ^{2} z ^{2} - 4} d z

Frequently Asked Questions (FAQ)

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