en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-2x-1

Solution

\int x^{2} - 2 x - 1 d x

Solution

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

Solution steps

\int x^{2} - 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 x^{2} d x - \int 2 x d x - \int 1 d x

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

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of ((x^2+sqrt(x)))/x

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

integral of x^2-2x-4

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

integral of (yze^{xyz})

\int (yz e^{x yz}) d x

integral of cos(r)r

\int cos (r) r d r

integral of xe^{x^2}(1+x^2)

\int x e^{x^{2}} (1 + x^{2}) d x

Frequently Asked Questions (FAQ)

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