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Popular >

integral of r^{3/2}

Solution

\int r^{\frac{3}{2}} d r

Solution

\frac{2}{5} r^{\frac{5}{2}} + C

Solution steps

\int r^{\frac{3}{2}} d r

Apply the Power Rule

: \frac{2}{5} r^{\frac{5}{2}}

= \frac{2}{5} r^{\frac{5}{2}}

Add a constant to the solution

= \frac{2}{5} r^{\frac{5}{2}} + C

Popular Examples

integral of (x+2)/((x-1)(x+3)(x-5))

\int \frac{x + 2}{( x - 1 ) ( x + 3 ) ( x - 5 )} d x

integral of (4cos(θ))/(3+2sin(θ))

\int \frac{4 cos ( θ )}{3 + 2 sin ( θ )} d θ

integral of (x^2)/((x^2+4))

\int \frac{x ^{2}}{( x ^{2} + 4 )} d x

integral of 2xsqrt(2x)

\int 2 x 2 x d x

integral of-1/(cos^2(y))

\int - \frac{1}{cos ^{2} ( y )} d y

Frequently Asked Questions (FAQ)

What is the integral of r^{3/2} ?
The integral of r^{3/2} is 2/5 r^{5/2}+C