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Popular >

integral of x^1e^x

Solution

\int x^{1} e^{x} d x

Solution

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

Solution steps

\int x^{1} e^{x} d x

Simplify

= \int e^{x} 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

integral of (6x+4)

\int (6 x + 4) d x

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

f (x) = \frac{2}{3 x ^{4}}

integral of 1/(sin(x)*cos(x))

\int \frac{1}{sin ( x ) \cdot cos ( x )} d x

integral from 1 to infinity of 9e^{-3x}

\int_{1}^{\infty} 9 e^{- 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^1e^x ?
The integral of x^1e^x is e^xx-e^x+C