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Popular Calculus >

integral of-t^2+3t-2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d t = 2 t

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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