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Popular >

integral of e^3+e^x

Solution

\int e^{3} + e^{x} d x

Solution

e^{3} x + e^{x} + C

Solution steps

\int e^{3} + 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 e^{3} d x + \int e^{x} d x

\int e^{3} d x = e^{3} x

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

= e^{3} x + e^{x}

Add a constant to the solution

= e^{3} x + e^{x} + C

Graph

Popular Examples

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\int \frac{( ln ( 3 x ) ) ^{2}}{x} d x

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\int sin (\frac{y}{x}) d y

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\int x e^{u} d x

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\int (4 sinh (x) + x^{7}) d x

integral of 3/(4x-1)

\int \frac{3}{4 x - 1} d x

Frequently Asked Questions (FAQ)

What is the integral of e^3+e^x ?
The integral of e^3+e^x is e^3x+e^x+C