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Popular Calculus >

integral of 3-2t+t^2

Solution

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

Solution

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

Solution steps

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

\int 3 d t = 3 t

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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