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Popular Calculus >

integral of 20t

Solution

\int 20 t d t

Solution

10 t^{2} + C

Solution steps

\int 20 t d t

Take the constant out:

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

= 20 \cdot \int t d t

Apply the Power Rule

= 20 \cdot \frac{t ^{2}}{2}

Simplify

20 \cdot \frac{t ^{2}}{2} : 10 t^{2}

= 10 t^{2}

Add a constant to the solution

= 10 t^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 20t ?
The integral of 20t is 10t^2+C