What is the integral of t^2+2t-15 ?

The integral of t^2+2t-15 is (t^3)/3+t^2-15t+C

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integral of t^2+2t-15

\int t^{2} + 2 t - 15 d t

\frac{t ^{3}}{3} + t^{2} - 15 t + C

Solution steps

\int t^{2} + 2 t - 15 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 2 t d t - \int 15 d t

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

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

\int 15 d t = 15 t

= \frac{t ^{3}}{3} + t^{2} - 15 t

Add a constant to the solution

= \frac{t ^{3}}{3} + t^{2} - 15 t + C

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What is the integral of t^2+2t-15 ?
The integral of t^2+2t-15 is (t^3)/3+t^2-15t+C