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Popular Calculus >

integral of 2xe^{-y}

Solution

\int 2 x e^{- y} d x

Solution

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

Solution steps

\int 2 x e^{- y} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

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derivative of 3cos(x-2sin(x))

(\partial)/(\partial x)(x-y-2)

Frequently Asked Questions (FAQ)

What is the integral of 2xe^{-y} ?
The integral of 2xe^{-y} is e^{-y}x^2+C