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Popular >

integral of xe^6

Solution

\int x e^{6} d x

Solution

\frac{e ^{6} x ^{2}}{2} + C

Solution steps

\int x e^{6} d x

Take the constant out:

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

= e^{6} \cdot \int x d x

Apply the Power Rule

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

= e^{6} \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{e ^{6} x ^{2}}{2}

Add a constant to the solution

= \frac{e ^{6} x ^{2}}{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of xe^6 ?
The integral of xe^6 is (e^6x^2)/2+C