en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x-1

Solution

\int 3 x - 1 d x

Solution

\frac{3 x ^{2}}{2} - x + C

Solution steps

\int 3 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 3 x d x - \int 1 d x

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

\int 1 d x = x

= \frac{3 x ^{2}}{2} - x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - x + C

Popular Examples

integral of se^{-sxy}

\int s e^{- s x y} d x

derivative of (5-xe^x)/(x+e^x)derivative of

\frac{5 - x e ^{x}}{x + e ^{x}}

integral of ((3x^3-4x^2+3x))/(x^2+1)

\int \frac{( 3 x ^{3} - 4 x ^{2} + 3 x )}{x ^{2} + 1} d x

limit as z approaches 1 of Arg(z)

z \to 1 lim (A r g (z))

derivative of (7x^2-6x+4)/(3x+8)derivative of

\frac{7 x ^{2} - 6 x + 4}{3 x + 8}

Frequently Asked Questions (FAQ)

What is the integral of 3x-1 ?
The integral of 3x-1 is (3x^2)/2-x+C