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Popular >

integral of 2x+e^x

Solution

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

Solution

x^{2} + e^{x} + C

Solution steps

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

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

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

= x^{2} + e^{x}

Add a constant to the solution

= x^{2} + e^{x} + C

Graph

Popular Examples

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\int \frac{16}{1 - cos ( 8 x )} d x

laplacetransform e^{-t+1}laplace transform

e^{- t + 1}

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\frac{d}{d x} (\frac{1}{5 x ^{5}})

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Frequently Asked Questions (FAQ)

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