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Popular Calculus >

integral of-t+3

Solution

integral

- t + 3

Solution

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

Solution steps

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

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

\int 3 d t = 3 t

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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