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Popular >

integral of 3t^2

Solution

\int 3 t^{2} d t

Solution

t^{3} + C

Solution steps

\int 3 t^{2} d t

Take the constant out:

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

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

Apply the Power Rule

: \frac{t ^{3}}{3}

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

Simplify

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

= t^{3}

Add a constant to the solution

= t^{3} + C

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Frequently Asked Questions (FAQ)

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