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Popular >

integral of (1/y)

Solution

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

Solution

ln ∣ y ∣ + C

Solution steps

\int \frac{1}{y} d y

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= ln ∣ y ∣

Add a constant to the solution

= ln ∣ y ∣ + C

Popular Examples

integral from 0 to 9 of piy^3

\int_{0}^{9} π y^{3} d y

area x^3-10x,6x,[-4,4]area

x^{3} - 10 x, 6 x, [- 4, 4]

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

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

integral of (2x^2-9x-9)/(x^3-9x)

\int \frac{2 x ^{2} - 9 x - 9}{x ^{3} - 9 x} d x

integral of (Inx)^2

\int (I n x)^{2} d x

Frequently Asked Questions (FAQ)

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