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Popular >

integral of+xe^x

Solution

\int + x e^{x} d x

Solution

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

Solution steps

\int x e^{x} d x

Apply Integration By Parts

: e^{x} x - \int e^{x} d x

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

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial y)(x-z-arctan(yz))

\frac{\partial}{\partial y} (x - z - arctan (yz))

area y=sqrt(x),y= x/2 ,x=9 area

y = x, y = \frac{x}{2}, x = 9

tangent of 8/x+6 tangent of

\frac{8}{x} + 6

derivative of 8e^x+2/(\sqrt[3]{x)}derivative of

tangent of f(x)= 1/(x^2),(2, 1/4)tangent of

f (x) = \frac{1}{x ^{2}}, (2, \frac{1}{4})

Frequently Asked Questions (FAQ)

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