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

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

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integral from 1 to 3 of 1/y

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

ln (3)

Decimal

1.09861 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= [ln ∣ y ∣]_{1}^{3}

Compute the boundaries:

ln (3)

= ln (3)

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\int_{- 3}^{3} (5 - ∣ x ∣) d x

\int_{0}^{4} (- 2 x^{2} + 8 x) d x

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