What is the integral from 5 to 10 of 18/25 x ?

The integral from 5 to 10 of 18/25 x is 27

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integral from 5 to 10 of 18/25 x

\int_{5}^{10} \frac{18}{25} x d x

27

Solution steps

\int_{5}^{10} \frac{18}{25} x d x

Take the constant out:

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

= \frac{18}{25} \cdot \int_{5}^{10} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{5}^{10}

= \frac{18}{25} [\frac{x ^{2}}{2}]_{5}^{10}

Compute the boundaries:

\frac{75}{2}

= \frac{18}{25} \cdot \frac{75}{2}

Simplify

= 27

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What is the integral from 5 to 10 of 18/25 x ?
The integral from 5 to 10 of 18/25 x is 27