en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x-1

Solution

\int 4 x - 1 d x

Solution

2 x^{2} - x + C

Solution steps

\int 4 x - 1 d x

Apply the Sum Rule:

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

= \int 4 x d x - \int 1 d x

\int 4 x d x = 2 x^{2}

\int 1 d x = x

= 2 x^{2} - x

Add a constant to the solution

= 2 x^{2} - x + C

Popular Examples

integral from 0 to 5 of 6x-x^2

\int_{0}^{5} 6 x - x^{2} d x

derivative of ,x

\frac{d}{d x} (, x)

(dy)/(dx)= 1/(xy^3)

\frac{d y}{d x} = \frac{1}{x y ^{3}}

area y=3x+2,y=x^3 area

y = 3 x + 2, y = x^{3}

inverse oflaplace 8/(s^2+8s)inverse laplace

\frac{8}{s ^{2} + 8 s}

Frequently Asked Questions (FAQ)

What is the integral of 4x-1 ?
The integral of 4x-1 is 2x^2-x+C