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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

Graph

Popular Examples

integral of 0.09e^{0.04x}

\int 0.09 e^{0.04 x} d x

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

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

integral of (21x^2)/(sec(x^3-3))

\int \frac{21 x ^{2}}{sec ( x ^{3} - 3 )} d x

integral of x(e^{x^2}+12)

\int x (e^{x^{2}} + 12) d x

integral of (e^{11x})

\int (e^{11 x}) d x

Frequently Asked Questions (FAQ)

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