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Popular >

integral of e^x+2x

Solution

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

Solution

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

Solution steps

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

\int e^{x} 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

Graph

Popular Examples

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\int \frac{1}{θ ^{2}} csc (\frac{1}{θ}) d θ

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\int sin (2 x) ln (sin (x)) d x

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\int \frac{a}{v ^{2}} d v

integral of 1/(5x+8)

\int \frac{1}{5 x + 8} d x

Frequently Asked Questions (FAQ)

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