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Popular Calculus >

integral of-2t+3

Solution

\int - 2 t + 3 d t

Solution

- t^{2} + 3 t + C

Solution steps

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

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

\int 3 d t = 3 t

= - t^{2} + 3 t

Add a constant to the solution

= - t^{2} + 3 t + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-2t+3 ?
The integral of-2t+3 is -t^2+3t+C