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Popular >

integral of 1/(x-c)

Solution

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

Solution

ln ∣ x - c ∣ + C

Solution steps

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

= ln ∣ x - c ∣

Add a constant to the solution

= ln ∣ x - c ∣ + C

Popular Examples

integral of (x^4-2x^2+1)/(x^3)

\int \frac{x ^{4} - 2 x ^{2} + 1}{x ^{3}} d x

limit as x approaches 1-of 4x-5

x \to 1 - lim (4 x - 5)

derivative of 2/(3x)derivative of

\frac{2}{3 x}

integral of-(12)/(x^{13)}

\int - \frac{12}{x ^{13}} d x

tangent of y=sqrt(x+3),(6,3)tangent of

y = x + 3, (6, 3)

Frequently Asked Questions (FAQ)

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