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Popular >

integral of 2xe-2x

Solution

\int 2 x e - 2 x d x

Solution

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

Solution steps

\int 2 x e - 2 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 x e d x - \int 2 x d x

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

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

= e x^{2} - x^{2}

Add a constant to the solution

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

Graph

Popular Examples

integral of x^2+y

\int x^{2} + y d x

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y = (x - 1)^{3} (x + 2)^{4}

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y = cot^{2} (π x)

y^{^{'}} + 3 y = 0

integral of (1-cos^2(x))/(sin^2(x))

\int \frac{1 - cos ^{2} ( x )}{sin ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

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