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Popular >

integral of t^2-6t+8

Solution

\int t^{2} - 6 t + 8 d t

Solution

\frac{t ^{3}}{3} - 3 t^{2} + 8 t + C

Solution steps

\int t^{2} - 6 t + 8 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 6 t d t + \int 8 d t

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

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

\int 8 d t = 8 t

= \frac{t ^{3}}{3} - 3 t^{2} + 8 t

Add a constant to the solution

= \frac{t ^{3}}{3} - 3 t^{2} + 8 t + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of t^2-6t+8 ?
The integral of t^2-6t+8 is (t^3)/3-3t^2+8t+C