en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6z

Solution

\int 6 z d z

Solution

3 z^{2} + C

Solution steps

\int 6 z d z

Take the constant out:

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

= 6 \cdot \int z d z

Apply the Power Rule

: \frac{z ^{2}}{2}

= 6 \cdot \frac{z ^{2}}{2}

Simplify

6 \cdot \frac{z ^{2}}{2} : 3 z^{2}

= 3 z^{2}

Add a constant to the solution

= 3 z^{2} + C

Popular Examples

(y^2)/x (dy)/(dx)-(sqrt(y^3+1))e^{3x}=0

\frac{y ^{2}}{x} \frac{d y}{d x} - (y^{3} + 1) e^{3 x} = 0

derivative of (x-1sqrt(x^2-2x+2))

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

limit as x approaches-8 of ln(x+8)

x \to - 8 lim (ln (x + 8))

derivative of sqrt(x^2-9x+25)

\frac{d}{d x} (x^{2} - 9 x + 25)

y^'=-(3y)/t-2-t^{-4}

y^{^{'}} = - \frac{3 y}{t} - 2 - t^{- 4}

Frequently Asked Questions (FAQ)

What is the integral of 6z ?
The integral of 6z is 3z^2+C