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Popular Calculus >

integral of ke^x

Solution

\int k e^{x} d x

Solution

k e^{x} + C

Solution steps

\int k e^{x} d x

Take the constant out:

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

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

Use the common integral:

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

= k e^{x}

Add a constant to the solution

= k e^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of ke^x ?
The integral of ke^x is ke^x+C