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Popular >

integral of 2+3t

Solution

integral

2 + 3 t

Solution

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

Solution steps

\int 2 + 3 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 2 d t + \int 3 t d t

\int 2 d t = 2 t

\int 3 t d t = \frac{3 t ^{2}}{2}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2+3t ?
The integral of 2+3t is 2t+(3t^2)/2+C