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Popular >

integral of y^{1/2}

Solution

\int y^{\frac{1}{2}} d y

Solution

\frac{2}{3} y^{\frac{3}{2}} + C

Solution steps

\int y^{\frac{1}{2}} d y

Apply the Power Rule

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

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

Add a constant to the solution

= \frac{2}{3} y^{\frac{3}{2}} + C

Popular Examples

integral of e^{100t}*(sin(100t))/(0.01)

\int e^{100 t} \cdot \frac{sin ( 100 t )}{0.01} d t

limit as n approaches infinity of (3n)/n

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

(\partial)/(\partial x)(cos^2(4pix))

\frac{\partial}{\partial x} (cos^{2} (4 π x))

(d^2)/(dx^2)(e^{-ax^2})

\frac{d ^{2}}{d x ^{2}} (e^{- a x^{2}})

limit as x approaches infinity of (sqrt(x))/(sqrt(x\sqrt{x\sqrt{x))}}

x \to \infty lim \frac{x}{x x x}

Frequently Asked Questions (FAQ)

What is the integral of y^{1/2} ?
The integral of y^{1/2} is 2/3 y^{3/2}+C