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Popular >

integral of 7e^t-e^3

Solution

\int 7 e^{t} - e^{3} d t

Solution

7 e^{t} - e^{3} t + C

Solution steps

\int 7 e^{t} - e^{3} 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 7 e^{t} d t - \int e^{3} d t

\int 7 e^{t} d t = 7 e^{t}

\int e^{3} d t = e^{3} t

= 7 e^{t} - e^{3} t

Add a constant to the solution

= 7 e^{t} - e^{3} t + C

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\int (\frac{3}{10}) d t

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\int (1 + 3 x)^{4} d x

Frequently Asked Questions (FAQ)

What is the integral of 7e^t-e^3 ?
The integral of 7e^t-e^3 is 7e^t-e^3t+C