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Popular >

integral of 1/p

Solution

\int \frac{1}{p} d p

Solution

ln ∣ p ∣ + C

Solution steps

\int \frac{1}{p} d p

Use the common integral:

\int \frac{1}{p} d p = ln (∣ p ∣)

= ln ∣ p ∣

Add a constant to the solution

= ln ∣ p ∣ + C

Popular Examples

integral of (4x^2-x+25)/(x^3+25x)

\int \frac{4 x ^{2} - x + 25}{x ^{3} + 25 x} d x

derivative of 1+1/x derivative of

1 + \frac{1}{x}

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

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

7yln(x)-x(dy)/(dx)=0

7 y ln (x) - x \frac{d y}{d x} = 0

derivative of (2x-1/(2x+1))

\frac{d}{d x} (\frac{2 x - 1}{2 x + 1})

Frequently Asked Questions (FAQ)

What is the integral of 1/p ?
The integral of 1/p is ln|p|+C