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Popular Calculus >

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

Graph

Popular Examples

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

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

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

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

integral of 1/6 x^5

\int \frac{1}{6} x^{5} d x

integral of cos(x-pi/2)

\int cos (x - \frac{π}{2}) d x

integral of 40-2/(sec(θ))

\int 40 - \frac{2}{sec ( θ )} d θ

Frequently Asked Questions (FAQ)

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