en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of u(x)

Solution

\int u (x) d x

Solution

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

Solution steps

\int ux d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= u \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

derivative of e^{5x^2}derivative of

e^{5 x^{2}}

derivative of ln(4x+3)

\frac{d}{d x} (ln (4 x + 3))

derivative of ((x^2-1^3)/(x^2+1))

\frac{d}{d x} (\frac{( x ^{2} - 1 ) ^{3}}{x ^{2} + 1})

derivative of (8x^2-13x)e^x derivative of

(8 x^{2} - 13 x) e^{x}

(\partial)/(\partial x)((x-y)e^{-x^2-y^2})

\frac{\partial}{\partial x} ((x - y) e^{- x^{2} - y^{2}})

Frequently Asked Questions (FAQ)

What is the integral of u(x) ?
The integral of u(x) is (ux^2)/2+C