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Popular >

integral of 5e^t

Solution

\int 5 e^{t} d t

Solution

5 e^{t} + C

Solution steps

\int 5 e^{t} d t

Take the constant out:

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

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

Use the common integral:

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

= 5 e^{t}

Add a constant to the solution

= 5 e^{t} + C

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Frequently Asked Questions (FAQ)

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