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Popular >

integral of xe^2

Solution

\int x e^{2} d x

Solution

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

Solution steps

\int x e^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

simplify 2+sin(-pix+pi)simplify

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\frac{d}{d x} (ln (x x^{2} - 4))

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\int 7 x (x^{6} - \frac{1}{7}) d x

integral of x^{9/2}

\int x^{\frac{9}{2}} d x

(x-3)(dy)/(dx)=4(x-3)^4+y

(x - 3) \frac{d y}{d x} = 4 (x - 3)^{4} + y

Frequently Asked Questions (FAQ)

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