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Popular >

integral of u^{-1}

Solution

\int u^{- 1} d u

Solution

ln ∣ u ∣ + C

Solution steps

\int u^{- 1} d u

Use the common integral:

\int u^{- 1} d u = ln (∣ u ∣)

= ln ∣ u ∣

Add a constant to the solution

= ln ∣ u ∣ + C

Popular Examples

(\partial)/(\partial x)(3x^2+5y^7+9xy)

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{7} + 9 x y)

integral from 2 to 4 of (1-(x-3)^2)

\int_{2}^{4} (1 - (x - 3)^{2}) d x

(\partial)/(\partial x)(sqrt(x+1))

\frac{\partial}{\partial x} (x + 1)

integral from 1 to 4 of yln(y)

\int_{1}^{4} y ln (y) d y

sum from n=0 to infinity of (e/2)^n

n = 0 \sum \infty (\frac{e}{2})^{n}

Frequently Asked Questions (FAQ)

What is the integral of u^{-1} ?
The integral of u^{-1} is ln|u|+C