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Popular >

integral of 2xe^2

Solution

\int 2 x e^{2} d x

Solution

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

Solution steps

\int 2 x e^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

= e^{2} x^{2}

Add a constant to the solution

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

Popular Examples

integral of 1/(sqrt(x)\sqrt[4]{x)}

integral of (3/8 x-10)^5

\int (\frac{3}{8} x - 10)^{5} d x

integral of (3x)/(2x-1)

\int \frac{3 x}{2 x - 1} d x

integral of 1/(sqrt(28-12x-x^2))

\int \frac{1}{28 - 12 x - x ^{2}} d x

integral of (x+2)/(x^2+7x+6)

\int \frac{x + 2}{x ^{2} + 7 x + 6} d x

Frequently Asked Questions (FAQ)

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