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Popular >

integral of x^{1/2}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

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

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

maclaurin 1/(1+2x)maclaurin

\frac{1}{1 + 2 x}

integral of (x^3-1)/x

\int \frac{x ^{3} - 1}{x} d x

(dy)/(dx)=21x^2e^{-y}

\frac{d y}{d x} = 21 x^{2} e^{- y}

area x+y=2,x=y^2-2y area

x + y = 2, x = y^{2} - 2 y

Frequently Asked Questions (FAQ)

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