What is the integral from 1 to 6 of (1/x) ?

The integral from 1 to 6 of (1/x) is ln(6)

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integral from 1 to 6 of (1/x)

\int_{1}^{6} (\frac{1}{x}) d x

ln (6)

Decimal

1.79175 \dots

Solution steps

\int_{1}^{6} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{6}

Compute the boundaries:

ln (6)

= ln (6)

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

\int_{0}^{\frac{π}{2}} sin (2 n x) d x

\int_{1}^{2} x e^{3 x^{2}} d x

\int_{5}^{8} (x + 1) ln (2 x + 4) d x

\int_{2}^{5} (2 x + 1) d x

What is the integral from 1 to 6 of (1/x) ?
The integral from 1 to 6 of (1/x) is ln(6)