What is the integral from 4 to 8 of 1/x ?

The integral from 4 to 8 of 1/x is ln(2)

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integral from 4 to 8 of 1/x

\int_{4}^{8} \frac{1}{x} d x

ln (2)

Decimal Notation

0.69314 \dots

Solution steps

\int_{4}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{4}^{8}

Compute the boundaries:

ln (2)

= ln (2)

x \to 3 lim (\frac{x - 3}{3 - x})

x^{2} - 9, 9 - x^{2}

\int t^{3} e^{- t^{4}} d t

x \to 0 lim (x^{2} cos (\frac{5}{x}))

8 x^{2} y + y^{^{'}} = - 3 x^{2}

What is the integral from 4 to 8 of 1/x ?
The integral from 4 to 8 of 1/x is ln(2)