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Popular >

integral of e-2x

Solution

\int e - 2 x d x

Solution

e x - x^{2} + C

Solution steps

\int e - 2 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 d x - \int 2 x d x

\int e d x = e x

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

= e x - x^{2}

Add a constant to the solution

= e x - x^{2} + C

Popular Examples

integral of e^{7x}x

\int e^{7 x} x d x

integral of e^{-(s-3)t}

\int e^{- (s - 3) t} d t

integral of (2x)/(x^3-x)

\int \frac{2 x}{x ^{3} - x} d x

integral of cot(41x)

\int cot (41 x) d x

integral of (1/x-sin(x))

\int (\frac{1}{x} - sin (x)) d x

Frequently Asked Questions (FAQ)

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