What is the integral from 1 to 8 of (1/x) ?

The integral from 1 to 8 of (1/x) is 3ln(2)

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integral from 1 to 8 of (1/x)

\int_{1}^{8} (\frac{1}{x}) d x

3 ln (2)

Decimal

2.07944 \dots

Solution steps

\int_{1}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{8}

Compute the boundaries:

3 ln (2)

= 3 ln (2)

\int_{0}^{2} 4 - x d x

\int_{- 3}^{1} 8 d x

\int_{1}^{2} (4 x^{2}) d x

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

\int_{0}^{z^{2}} - zy + z^{2} d y

What is the integral from 1 to 8 of (1/x) ?
The integral from 1 to 8 of (1/x) is 3ln(2)