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Popular >

integral of 3+e^{2t}

Solution

\int 3 + e^{2 t} d t

Solution

3 t + \frac{1}{2} e^{2 t} + C

Solution steps

\int 3 + e^{2 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 3 d t + \int e^{2 t} d t

\int 3 d t = 3 t

\int e^{2 t} d t = \frac{1}{2} e^{2 t}

= 3 t + \frac{1}{2} e^{2 t}

Add a constant to the solution

= 3 t + \frac{1}{2} e^{2 t} + C

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\int 5 x^{4} sinh (x^{5}) d x

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\int arcsin (2 y) d y

Frequently Asked Questions (FAQ)

What is the integral of 3+e^{2t} ?
The integral of 3+e^{2t} is 3t+1/2 e^{2t}+C