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

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

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integral from 0 to 5 of 1/25 y

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

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} y d y

Apply the Power Rule

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

Compute the boundaries:

\frac{25}{2}

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

Simplify

= \frac{1}{2}

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