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Popular >

integral of xe^u

Solution

\int x e^{u} d x

Solution

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

Solution steps

\int x e^{u} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (4sinh(x)+x^7)

\int (4 sinh (x) + x^{7}) d x

integral of 3/(4x-1)

\int \frac{3}{4 x - 1} d x

integral of xcos(x)cos(x)

\int x cos (x) cos (x) d x

integral of 12sec^2(x)tan^5(x)

\int 12 sec^{2} (x) tan^{5} (x) d x

integral of x^2(2x^2+3)

\int x^{2} (2 x^{2} + 3) d x

Frequently Asked Questions (FAQ)

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