en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 8z

Solution

\int 8 z d z

Solution

4 z^{2} + C

Solution steps

\int 8 z d z

Take the constant out:

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

= 8 \cdot \int z d z

Apply the Power Rule

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

= 8 \cdot \frac{z ^{2}}{2}

Simplify

8 \cdot \frac{z ^{2}}{2} : 4 z^{2}

= 4 z^{2}

Add a constant to the solution

= 4 z^{2} + C

Popular Examples

limit as x approaches infinity of 2(-23e^{-sqrt(x)}+23e^{-1})

x \to \infty lim (2 (- 23 e^{- x} + 23 e^{- 1}))

(\partial)/(\partial x)(e^{yln(z)})

\frac{\partial}{\partial x} (e^{y l n (z)})

integral of (x^2+x^{-2})

\int (x^{2} + x^{- 2}) d x

derivative of 9/(t^3)derivative of

\frac{9}{t ^{3}}

derivative of x^2+6x

\frac{d}{d x} (x^{2} + 6 x)

Frequently Asked Questions (FAQ)

What is the integral of 8z ?
The integral of 8z is 4z^2+C