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Popular >

integral of e^{2x}+1

Solution

\int e^{2 x} + 1 d x

Solution

\frac{1}{2} e^{2 x} + x + C

Solution steps

\int e^{2 x} + 1 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^{2 x} d x + \int 1 d x

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

\int 1 d x = x

= \frac{1}{2} e^{2 x} + x

Add a constant to the solution

= \frac{1}{2} e^{2 x} + x + C

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Frequently Asked Questions (FAQ)

What is the integral of e^{2x}+1 ?
The integral of e^{2x}+1 is 1/2 e^{2x}+x+C