en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (3xz^2+2)

Solution

\int (3 x z^{2} + 2) d z

Solution

2 z + x z^{3} + C

Solution steps

\int 3 x z^{2} + 2 d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d z + \int 3 x z^{2} d z

\int 2 d z = 2 z

\int 3 x z^{2} d z = x z^{3}

= 2 z + x z^{3}

Add a constant to the solution

= 2 z + x z^{3} + C

Graph

Popular Examples

derivative of log_{10}((x^2-1/x))

integral of (ln(x))(sin(x))

(dr)/(dθ)cot(θ)-r=2

integral from 1 to 4 of-8sqrt(t)ln(t)

integral of 1/(x^3)sqrt((x^2-1)/(x^2))

Frequently Asked Questions (FAQ)

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