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Popular Calculus >

integral of 12t^3

Solution

\int 12 t^{3} d t

Solution

3 t^{4} + C

Solution steps

\int 12 t^{3} d t

Take the constant out:

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

= 12 \cdot \int t^{3} d t

Apply the Power Rule

= 12 \cdot \frac{t ^{4}}{4}

Simplify

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

= 3 t^{4}

Add a constant to the solution

= 3 t^{4} + C

Graph

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Frequently Asked Questions (FAQ)

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