en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x-1

Solution

\int 2 x - 1 d x

Solution

x^{2} - x + C

Solution steps

\int 2 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 2 x d x - \int 1 d x

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

\int 1 d x = x

= x^{2} - x

Add a constant to the solution

= x^{2} - x + C

Graph

Popular Examples

derivative of cos^2(x+cos(x))

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

integral of ((x^{1/3}-4)^5)/(6x^{2/3)}

\int \frac{( x ^{\frac{1}{3}} - 4 ) ^{5}}{6 x ^{\frac{2}{3}}} d x

y^{''}-3y^'+2y=1+e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = 1 + e^{x}

derivative of e^{2x}*2-e^x

\frac{d}{d x} (e^{2 x} \cdot 2 - e^{x})

limit as x approaches infinity of 5x-10

x \to \infty lim (5 x - 10)

Frequently Asked Questions (FAQ)

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