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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

derivative of f(x)=((8x+x^2))/((4+x)^2)derivative of

f (x) = \frac{( 8 x + x ^{2} )}{( 4 + x ) ^{2}}

integral of (3x)/(3x+2)

\int \frac{3 x}{3 x + 2} d x

limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11))

x \to 3 lim (\frac{x ^{2} - 25}{x ^{2} + 11})

integral from 0 to 2 of 2e^{-3x}

\int_{0}^{2} 2 e^{- 3 x} d x

derivative of (x^{1/3}-1^3)

\frac{d}{d x} ((x^{\frac{1}{3}} - 1)^{3})

Frequently Asked Questions (FAQ)

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