What is the integral from 0 to 5 of 1/25 x ?

The integral from 0 to 5 of 1/25 x is 1/2

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integral from 0 to 5 of 1/25 x

\int_{0}^{5} \frac{1}{25} x d x

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\int_{0}^{5} \frac{1}{25} x d x

Take the constant out:

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

= \frac{1}{25} \cdot \int_{0}^{5} x d x

Apply the Power Rule

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

= \frac{1}{25} [\frac{x ^{2}}{2}]_{0}^{5}

Compute the boundaries:

\frac{25}{2}

= \frac{1}{25} \cdot \frac{25}{2}

Simplify

= \frac{1}{2}

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What is the integral from 0 to 5 of 1/25 x ?
The integral from 0 to 5 of 1/25 x is 1/2