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Popular Calculus >

integral of 3t^2+6t

Solution

\int 3 t^{2} + 6 t d t

Solution

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

Solution steps

\int 3 t^{2} + 6 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 3 t^{2} d t + \int 6 t d t

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

\int 6 t d t = 3 t^{2}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3t^2+6t ?
The integral of 3t^2+6t is t^3+3t^2+C