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Popular Calculus >

integral of 2t^2

Solution

\int 2 t^{2} d t

Solution

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

Solution steps

\int 2 t^{2} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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