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Popular >

integral of 1+e^t

Solution

\int 1 + e^{t} d t

Solution

t + e^{t} + C

Solution steps

\int 1 + e^{t} 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 1 d t + \int e^{t} d t

\int 1 d t = t

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

= t + e^{t}

Add a constant to the solution

= t + e^{t} + C

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Frequently Asked Questions (FAQ)

What is the integral of 1+e^t ?
The integral of 1+e^t is t+e^t+C