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

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

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integral from 1 to 5 of (1/x)

\int_{1}^{5} (\frac{1}{x}) d x

ln (5)

Decimal Notation

1.60943 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{5}

Compute the boundaries:

ln (5)

= ln (5)

\int_{1}^{\infty} \frac{1}{3 ^{x}} d x

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

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

\int_{1}^{e} \frac{1}{x ( 1 + ln ( x ^{2} ) )} d x

\int_{- 7}^{7} (4 x - 3) d x

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