What is the integral from 0 to 15 of 2/5 x ?

The integral from 0 to 15 of 2/5 x is 45

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integral from 0 to 15 of 2/5 x

\int_{0}^{15} \frac{2}{5} x d x

45

Solution steps

\int_{0}^{15} \frac{2}{5} x d x

Take the constant out:

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

= \frac{2}{5} \cdot \int_{0}^{15} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{15}

= \frac{2}{5} [\frac{x ^{2}}{2}]_{0}^{15}

Compute the boundaries:

\frac{225}{2}

= \frac{2}{5} \cdot \frac{225}{2}

Simplify

= 45

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What is the integral from 0 to 15 of 2/5 x ?
The integral from 0 to 15 of 2/5 x is 45