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Popular Calculus >

integral of 12t^2

Solution

\int 12 t^{2} d t

Solution

4 t^{3} + C

Solution steps

\int 12 t^{2} d t

Take the constant out:

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

= 12 \cdot \int t^{2} d t

Apply the Power Rule

= 12 \cdot \frac{t ^{3}}{3}

Simplify

12 \cdot \frac{t ^{3}}{3} : 4 t^{3}

= 4 t^{3}

Add a constant to the solution

= 4 t^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 12t^2 ?
The integral of 12t^2 is 4t^3+C