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Popular >

integral of xe^3

Solution

\int x e^{3} d x

Solution

\frac{e ^{3} x ^{2}}{2} + C

Solution steps

\int x e^{3} d x

Take the constant out:

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

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

Apply the Power Rule

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

= e^{3} \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{e ^{3} x ^{2}}{2}

Add a constant to the solution

= \frac{e ^{3} x ^{2}}{2} + C

Popular Examples

derivative of-(48x)/((x^2+12)^2)derivative of

- \frac{48 x}{( x ^{2} + 12 ) ^{2}}

integral from 0 to 9 of 1/(x^2-6x+5)

\int_{0}^{9} \frac{1}{x ^{2} - 6 x + 5} d x

area 1/(1+x^2),(x^2)/2 area

\frac{1}{1 + x ^{2}}, \frac{x ^{2}}{2}

(\partial)/(\partial x)(yarctan(x/z))

\frac{\partial}{\partial x} (y arctan (\frac{x}{z}))

maclaurin e^{2x^2}maclaurin

e^{2 x^{2}}

Frequently Asked Questions (FAQ)

What is the integral of xe^3 ?
The integral of xe^3 is (e^3x^2)/2+C