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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 (2 x^{2} + 1) sin (x) d x

integral of (5t^3+2t^2+t)

\int (5 t^{3} + 2 t^{2} + t) d t

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