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Popular >

integral of e^xy

Solution

\int e^{x} y d x

Solution

y e^{x} + C

Solution steps

\int e^{x} y d x

Take the constant out:

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

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

Use the common integral:

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

= y e^{x}

Add a constant to the solution

= y e^{x} + C

Popular Examples

limit as x approaches-1 of (x^2-4)/(x-2)

x \to - 1 lim (\frac{x ^{2} - 4}{x - 2})

(d^2)/(dx^2)(θsin(θ))

\frac{d ^{2}}{d x ^{2}} (θ sin (θ))

integral of 1/(y^2-4y+4)

\int \frac{1}{y ^{2} - 4 y + 4} d y

integral of (e^{-x}-e^5)*(e^x+e^{-3})

\int (e^{- x} - e^{5}) \cdot (e^{x} + e^{- 3}) d x

(\partial)/(\partial x)(ye^{x^2})

\frac{\partial}{\partial x} (y e^{x^{2}})

Frequently Asked Questions (FAQ)

What is the integral of e^xy ?
The integral of e^xy is ye^x+C