en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (6z^2)

Solution

\int (6 z^{2}) d z

Solution

2 z^{3} + C

Solution steps

\int 6 z^{2} d z

Take the constant out:

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

= 6 \cdot \int z^{2} d z

Apply the Power Rule

: \frac{z ^{3}}{3}

= 6 \cdot \frac{z ^{3}}{3}

Simplify

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

= 2 z^{3}

Add a constant to the solution

= 2 z^{3} + C

Popular Examples

integral of (e^{-3x})/4

\int \frac{e ^{- 3 x}}{4} d x

integral of (In(x))/x

\int \frac{I n ( x )}{x} d x

integral of+28(7x-2)^{-5}

\int + 28 (7 x - 2)^{- 5} d x

integral of 15θsec^2(θ)

\int 15 θ sec^{2} (θ) d θ

integral of 13xe^{-2x}

\int 13 x e^{- 2 x} d x

Frequently Asked Questions (FAQ)

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