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Popular Calculus >

integral of-32t

Solution

\int - 32 t d t

Solution

- 16 t^{2} + C

Solution steps

\int - 32 t d t

Take the constant out:

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

= - 32 \cdot \int t d t

Apply the Power Rule

= - 32 \cdot \frac{t ^{2}}{2}

Simplify

- 32 \cdot \frac{t ^{2}}{2} : - 16 t^{2}

= - 16 t^{2}

Add a constant to the solution

= - 16 t^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-32t ?
The integral of-32t is -16t^2+C