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Popular Calculus >

integral of 12-3t^2

Solution

\int 12 - 3 t^{2} d t

Solution

12 t - t^{3} + C

Solution steps

\int 12 - 3 t^{2} 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 12 d t - \int 3 t^{2} d t

\int 12 d t = 12 t

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

= 12 t - t^{3}

Add a constant to the solution

= 12 t - t^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 12-3t^2 ?
The integral of 12-3t^2 is 12t-t^3+C