What is the integral from 0 to 100 of 5ax ?

The integral from 0 to 100 of 5ax is 25000a

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integral from 0 to 100 of 5ax

\int_{0}^{100} 5 a x d x

25000 a

Solution steps

\int_{0}^{100} 5 a x d x

Take the constant out:

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

= 5 a \cdot \int_{0}^{100} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{100}

= 5 a [\frac{x ^{2}}{2}]_{0}^{100}

Compute the boundaries:

5000

= 5 a \cdot 5000

Simplify

= 25000 a

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What is the integral from 0 to 100 of 5ax ?
The integral from 0 to 100 of 5ax is 25000a