What is the integral from 1 to 3 of 5/y ?

The integral from 1 to 3 of 5/y is 5ln(3)

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integral from 1 to 3 of 5/y

\int_{1}^{3} \frac{5}{y} d y

5 ln (3)

Decimal

5.49306 \dots

Solution steps

\int_{1}^{3} \frac{5}{y} d y

Take the constant out:

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

= 5 \cdot \int_{1}^{3} \frac{1}{y} d y

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= 5 [ln ∣ y ∣]_{1}^{3}

Compute the boundaries:

ln (3)

= 5 ln (3)

What is the integral from 1 to 3 of 5/y ?
The integral from 1 to 3 of 5/y is 5ln(3)