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Popular >

integral of ysqrt(y)

Solution

\int y y d y

Solution

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

Solution steps

\int y y d y

Simplify

y y : y^{\frac{3}{2}}

= \int y^{\frac{3}{2}} d y

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

(dy)/(dx)=x(5-y)

\frac{d y}{d x} = x (5 - y)

limit as x approaches infinity of 3/x

x \to \infty lim (\frac{3}{x})

sum from n=0 to infinity of 1-(2/3)^n

n = 0 \sum \infty 1 - (\frac{2}{3})^{n}

limit as x approaches 4 of x^2+2x+2

x \to 4 lim (x^{2} + 2 x + 2)

derivative of (sqrt(-x+y-2)/(x-2))

\frac{d}{d x} (\frac{- x + y - 2}{x - 2})

Frequently Asked Questions (FAQ)

What is the integral of ysqrt(y) ?
The integral of ysqrt(y) is 2/5 y^{5/2}+C