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Popular >

integral of 1/r

Solution

\int \frac{1}{r} d r

Solution

ln ∣ r ∣ + C

Solution steps

\int \frac{1}{r} d r

Use the common integral:

\int \frac{1}{r} d r = ln (∣ r ∣)

= ln ∣ r ∣

Add a constant to the solution

= ln ∣ r ∣ + C

Popular Examples

derivative of (x^2/(9+2x))

\frac{d}{d x} (\frac{x ^{2}}{9 + 2 x})

tangent of x^2+2xy-y^2+x=12,(3,6)tangent of

x^{2} + 2 x y - y^{2} + x = 12, (3, 6)

inverse oflaplace 3/s+8 1/(s(s+1))inverse laplace

\frac{3}{s} + 8 \frac{1}{s ( s + 1 )}

integral of sin(x)-2cos(x)

\int sin (x) - 2 cos (x) d x

integral of (72)/(x^2sqrt(4x^2+9))

\int \frac{72}{x ^{2} 4 x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

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