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Popular >

integral of v^{1/2}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of (x+2)(x-1)

\int (x + 2) (x - 1) d x

limit as x approaches 0-of x^9-1/x

x \to 0 - lim (x^{9} - \frac{1}{x})

integral of (9x+11)e^x

\int (9 x + 11) e^{x} d x

integral of 1/(xsqrt(1+3x))

\int \frac{1}{x 1 + 3 x} d x

integral of x/(x^2-1)

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

Frequently Asked Questions (FAQ)

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