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Popular >

integral of e^x-2

Solution

\int e^{x} - 2 d x

Solution

e^{x} - 2 x + C

Solution steps

\int e^{x} - 2 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 2 d x

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

\int 2 d x = 2 x

= e^{x} - 2 x

Add a constant to the solution

= e^{x} - 2 x + C

Graph

Popular Examples

integral from 0 to 3 of x^5e^{x^3}

\int_{0}^{3} x^{5} e^{x^{3}} d x

integral from 0 to ln(3) of 3/(e^x+4)

\int_{0}^{l n (3)} \frac{3}{e ^{x} + 4} d x

(dy)/(dx)+2y=e^x

\frac{d y}{d x} + 2 y = e^{x}

integral of 1/((1-x)(5-x))

\int \frac{1}{( 1 - x ) ( 5 - x )} d x

integral of cos^3(4x)sin^{-2}(4x)

\int cos^{3} (4 x) sin^{- 2} (4 x) d x

Frequently Asked Questions (FAQ)

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