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Popular >

integral of x*e^x

Solution

\int x \cdot 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

derivative of sqrt(9-y^2)derivative of

9 - y^{2}

derivative of sqrt(81+x^2)

\frac{d}{d x} (81 + x^{2})

derivative of xarcsin(x/4+sqrt(16-x^2))

\frac{d}{d x} (x arcsin (\frac{x}{4}) + 16 - x^{2})

integral of 45(1+sqrt(x))

\int 45 (1 + x) d x

(\partial)/(\partial x)(ln(x^y))

\frac{\partial}{\partial x} (ln (x^{y}))

Frequently Asked Questions (FAQ)

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