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Popular >

integral of r^{-3}

Solution

\int r^{- 3} d r

Solution

- \frac{1}{2 r ^{2}} + C

Solution steps

\int r^{- 3} d r

Apply the Power Rule

: - \frac{1}{2 r ^{2}}

= - \frac{1}{2 r ^{2}}

Add a constant to the solution

= - \frac{1}{2 r ^{2}} + C

Graph

Popular Examples

limit as x approaches-4 of (|x|-4)/(x+4)

x \to - 4 lim (\frac{∣ x ∣ - 4}{x + 4})

limit as x approaches-2pi-of csc(x)

x \to - 2 π - lim (csc (x))

derivative of-7(x-13^2+8(x-13)+5)

\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

derivative of-1/2 e^{2x}+e^x-1 derivative of

- \frac{1}{2} e^{2 x} + e^{x} - 1

y^{''}-7y^'+10y=24e^x

y^{^{''}} - 7 y^{^{'}} + 10 y = 24 e^{x}

Frequently Asked Questions (FAQ)

What is the integral of r^{-3} ?
The integral of r^{-3} is -1/(2r^2)+C