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Popular >

integral of 1/(x-1)

Solution

integral

\frac{1}{x - 1}

Solution

ln ∣ x - 1 ∣ + C

Solution steps

\int \frac{1}{x - 1} d x

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = x - 1

= ln ∣ x - 1 ∣

Add a constant to the solution

= ln ∣ x - 1 ∣ + C

Graph

Popular Examples

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\int (4 x - 1)^{7} d x

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\int \frac{( 4 x + 7 )}{x ^{2} - 5 x + 8} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(x-1) ?
The integral of 1/(x-1) is ln|x-1|+C