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Popular >

integral of xe

Solution

\int x e d x

Solution

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

Solution steps

\int x e d x

Take the constant out:

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

= e \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

derivative of (x+2e^{2x})

\frac{d}{d x} ((x + 2) e^{2 x})

(\partial)/(\partial x)(xln(y)+y^2z+z^2)

\frac{\partial}{\partial x} (x ln (y) + y^{2} z + z^{2})

derivative of f(x)=6x-3 derivative of

f (x) = 6 x - 3

(dx)/(dy)=(2y+sec^2(y))/(2x)

\frac{d x}{d y} = \frac{2 y + sec ^{2} ( y )}{2 x}

(3 e^{x})^{^{'}}

Frequently Asked Questions (FAQ)

What is the integral of xe ?
The integral of xe is (ex^2)/2+C