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Popular >

integral of r^5

Solution

\int r^{5} d r

Solution

\frac{r ^{6}}{6} + C

Solution steps

\int r^{5} d r

Apply the Power Rule

: \frac{r ^{6}}{6}

= \frac{r ^{6}}{6}

Add a constant to the solution

= \frac{r ^{6}}{6} + C

Graph

Popular Examples

limit as x approaches 0 of cosh(x)

x \to 0 lim (cosh (x))

(dx)/(dt)=1-3x,x(1)=-2

\frac{d x}{d t} = 1 - 3 x, x (1) = - 2

(dy)/(dx)=(x/(sqrt(1-6x^2)))

\frac{d y}{d x} = (\frac{x}{1 - 6 x ^{2}})

integral of (10x^3+7/(x^2)-x)

\int (10 x^{3} + \frac{7}{x ^{2}} - x) d x

integral of 2xcos(x)-cos^2(x)

\int 2 x cos (x) - cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of r^5 ?
The integral of r^5 is (r^6)/6+C