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

\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

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\int \frac{1}{u ^{2} - 1} d u

\frac{d}{d x} (arccos (sin (x^{2} + 9 x)))

d er i v a t i v e f (x) = 3 x + 4

t an g e n t f (x) = \frac{2}{4 - x}, at x = 1

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