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Popular >

integral of 1+e^{2x}

Solution

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

Solution

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

Solution steps

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

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

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n = 1 \sum \infty n^{2} (\frac{1}{3})^{n}

Frequently Asked Questions (FAQ)

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