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Popular Calculus >

integral of 2t^2+1

Solution

\int 2 t^{2} + 1 d t

Solution

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

Solution steps

\int 2 t^{2} + 1 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 2 t^{2} d t + \int 1 d t

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

\int 1 d t = t

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2t^2+1 ?
The integral of 2t^2+1 is (2t^3)/3+t+C