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Popular Calculus >

integral of (t^2+2)

Solution

\int (t^{2} + 2) d t

Solution

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

Solution steps

\int t^{2} + 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 2 d t

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

\int 2 d t = 2 t

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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