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Popular >

integral of 10t

Solution

\int 10 t d t

Solution

5 t^{2} + C

Solution steps

\int 10 t d t

Take the constant out:

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

= 10 \cdot \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

= 10 \cdot \frac{t ^{2}}{2}

Simplify

10 \cdot \frac{t ^{2}}{2} : 5 t^{2}

= 5 t^{2}

Add a constant to the solution

= 5 t^{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of 10t ?
The integral of 10t is 5t^2+C