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Popular Calculus >

integral of 5e^x

Solution

integral

5 e^{x}

Solution

5 e^{x} + C

Solution steps

\int 5 e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int e^{x} d x

Use the common integral:

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

= 5 e^{x}

Add a constant to the solution

= 5 e^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5e^x ?
The integral of 5e^x is 5e^x+C