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Popular >

integral of e^x-x

Solution

\int e^{x} - x d x

Solution

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

Solution steps

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

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

\int x d x = \frac{x ^{2}}{2}

= e^{x} - \frac{x ^{2}}{2}

Add a constant to the solution

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

Graph

Popular Examples

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\int x cos (a x^{2}) d x

integral from 0 to infinity of 14e^{-7x}

\int_{0}^{\infty} 14 e^{- 7 x} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x-x ?
The integral of e^x-x is e^x-(x^2)/2+C