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Popular >

integral of e^x-e

Solution

\int e^{x} - e d x

Solution

e^{x} - e x + C

Solution steps

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

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

\int e d x = e x

= e^{x} - e x

Add a constant to the solution

= e^{x} - e x + C

Popular Examples

integral of cos(x)sqrt(e^x)

\int cos (x) e^{x} d x

integral of (4x^3)/(x^4+5)

\int \frac{4 x ^{3}}{x ^{4} + 5} d x

integral of (x+(arctan(x))^2)/(1+x^2)

\int \frac{x + ( arctan ( x ) ) ^{2}}{1 + x ^{2}} d x

integral of-ysin(x)

\int - y sin (x) d x

integral of (sqrt(x^3)+1)/(sqrt(x)+1)

\int \frac{x ^{3} + 1}{x + 1} d x

Frequently Asked Questions (FAQ)

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