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Popular Calculus >

integral of 10-2t

Solution

\int 10 - 2 t d t

Solution

10 t - t^{2} + C

Solution steps

\int 10 - 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 10 d t - \int 2 t d t

\int 10 d t = 10 t

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

= 10 t - t^{2}

Add a constant to the solution

= 10 t - t^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 10-2t ?
The integral of 10-2t is 10t-t^2+C