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Popular Calculus >

integral of 6t^2

Solution

\int 6 t^{2} d t

Solution

2 t^{3} + C

Solution steps

\int 6 t^{2} d t

Take the constant out:

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

= 6 \cdot \int t^{2} d t

Apply the Power Rule

= 6 \cdot \frac{t ^{3}}{3}

Simplify

6 \cdot \frac{t ^{3}}{3} : 2 t^{3}

= 2 t^{3}

Add a constant to the solution

= 2 t^{3} + C

Graph

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(dy)/(dx)=e^{4x}

maclaurin x^2e^{-x^2}

Frequently Asked Questions (FAQ)

What is the integral of 6t^2 ?
The integral of 6t^2 is 2t^3+C