What is the integral of 10e^t ?

The integral of 10e^t is 10e^t+C

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integral of 10e^t

\int 10 e^{t} d t

10 e^{t} + C

Solution steps

\int 10 e^{t} d t

Take the constant out:

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

= 10 \cdot \int e^{t} d t

Use the common integral:

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

= 10 e^{t}

Add a constant to the solution

= 10 e^{t} + C

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