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Popular >

integral of (1/u)

Solution

\int (\frac{1}{u}) d u

Solution

ln ∣ u ∣ + C

Solution steps

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

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Add a constant to the solution

= ln ∣ u ∣ + C

Popular Examples

integral of (sin^3(x)+cos^2(x))

\int (sin^{3} (x) + cos^{2} (x)) d x

integral of 3x^2+5cos(x)+2

\int 3 x^{2} + 5 cos (x) + 2 d x

integral of 4x^2+3+8/(x^2+1)

\int 4 x^{2} + 3 + \frac{8}{x ^{2} + 1} d x

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

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

integral of x/(2x^2+7x-4)

\int \frac{x}{2 x ^{2} + 7 x - 4} d x

Frequently Asked Questions (FAQ)

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