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Popular Calculus >

integral of 8e^t-5

Solution

\int 8 e^{t} - 5 d t

Solution

8 e^{t} - 5 t + C

Solution steps

\int 8 e^{t} - 5 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 8 e^{t} d t - \int 5 d t

\int 8 e^{t} d t = 8 e^{t}

\int 5 d t = 5 t

= 8 e^{t} - 5 t

Add a constant to the solution

= 8 e^{t} - 5 t + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8e^t-5 ?
The integral of 8e^t-5 is 8e^t-5t+C