What is the integral from 5 to 7 of 1/x ?

The integral from 5 to 7 of 1/x is ln(7)-ln(5)

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integral from 5 to 7 of 1/x

\int_{5}^{7} \frac{1}{x} d x

ln (7) - ln (5)

Decimal

0.33647 \dots

Solution steps

\int_{5}^{7} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{5}^{7}

Compute the boundaries:

ln (7) - ln (5)

= ln (7) - ln (5)

\int_{\frac{π}{6}}^{\frac{π}{4}} sec^{2} (x) d x

\int_{- 5}^{3} - x^{2} - 3 x d x

\int_{1}^{2} \frac{1}{x ^{7}} d x

\int_{0}^{2} x (x - 1) d x

\int_{0}^{\frac{π}{4}} sin^{7} (y) d y

What is the integral from 5 to 7 of 1/x ?
The integral from 5 to 7 of 1/x is ln(7)-ln(5)