en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of u^{1/2}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

derivative of f(x)=7x^3sqrt(x)derivative of

f (x) = 7 x^{3} x

tangent of f(x)=(x-1)/(x-2),\at x=3 tangent of

f (x) = \frac{x - 1}{x - 2}, at x = 3

integral of ((sin(2x)))/(cos(x))

\int \frac{( sin ( 2 x ) )}{cos ( x )} d x

y^{^{'}} + 2 y = 18

integral of (6e^{2x})/(e^{2x)+10e^x+16}

\int \frac{6 e ^{2 x}}{e ^{2 x} + 10 e ^{x} + 16} d x

Frequently Asked Questions (FAQ)

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