What is the integral of xe^{x/(10)} ?

The integral of xe^{x/(10)} is 10e^{x/(10)}x-100e^{x/(10)}+C

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integral of xe^{x/(10)}

\int x e^{\frac{x}{10}} d x

10 e^{\frac{x}{10}} x - 100 e^{\frac{x}{10}} + C

Solution steps

\int x e^{\frac{x}{10}} d x

Apply Integration By Parts

: 10 e^{\frac{x}{10}} x - \int 10 e^{\frac{x}{10}} d x

= 10 e^{\frac{x}{10}} x - \int 10 e^{\frac{x}{10}} d x

\int 10 e^{\frac{x}{10}} d x = 100 e^{\frac{x}{10}}

= 10 e^{\frac{x}{10}} x - 100 e^{\frac{x}{10}}

Add a constant to the solution

= 10 e^{\frac{x}{10}} x - 100 e^{\frac{x}{10}} + C

y = x^{18}

\frac{d}{d x} (x - 2 x + 2 ln (x + 1))

y = \frac{5}{x - 2}, (3, 5)

\int_{0}^{1} \frac{x ^{2}}{( x + 1 ) ^{3}} d x

y^{^{'}} - \frac{1}{x} y = - \frac{y ^{2}}{x}

What is the integral of xe^{x/(10)} ?
The integral of xe^{x/(10)} is 10e^{x/(10)}x-100e^{x/(10)}+C