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

The integral of e^xx-e^x+C is e^xx-2e^x+Cx+C

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integral of e^xx-e^x+C

\int e^{x} x - e^{x} + C d x

e^{x} x - 2 e^{x} + C x + C

Solution steps

\int e^{x} x - e^{x} + C d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

\int C d x = C x

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

Simplify

= e^{x} x - 2 e^{x} + C x

Add a constant to the solution

= e^{x} x - 2 e^{x} + C x + C

\frac{d}{d y} (y x)

x, x^{\frac{1}{2}}, 0, 2

\int (sec (2 x) tan (2 x) - \frac{4}{x ^{2}}) d x

\int \frac{x - 2}{( x - 3 ) ( x - 4 )} d x

\int \frac{1}{t ^{3}} d t

What is the integral of e^xx-e^x+C ?
The integral of e^xx-e^x+C is e^xx-2e^x+Cx+C