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Popular Calculus >

integral of c/(r^3)

Solution

integral

\frac{c}{r ^{3}}

Solution

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

Solution steps

\int \frac{c}{r ^{3}} d r

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= c \cdot \int \frac{1}{r ^{3}} d r

Apply the Power Rule

= c (- \frac{1}{2 r ^{2}})

Simplify

c (- \frac{1}{2 r ^{2}}) : - \frac{c}{2 r ^{2}}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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