en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to-1 of x-1/(x^2)

Solution

\int_{- 2}^{- 1} x - \frac{1}{x ^{2}} d x

Solution

- 2

Solution steps

\int_{- 2}^{- 1} x - \frac{1}{x ^{2}} 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}^{- 1} x d x - \int_{- 2}^{- 1} \frac{1}{x ^{2}} d x

\int_{- 2}^{- 1} x d x = - \frac{3}{2}

\int_{- 2}^{- 1} \frac{1}{x ^{2}} d x = \frac{1}{2}

= - \frac{3}{2} - \frac{1}{2}

Simplify

- \frac{3}{2} - \frac{1}{2} : - 2

= - 2

Popular Examples

derivative of y=(9(1-sin(x)))/(2cos(x))derivative of

y = \frac{9 ( 1 - sin ( x ) )}{2 cos ( x )}

(\partial)/(\partial x)(ln(sqrt(xy)))

\frac{\partial}{\partial x} (ln (x y))

limit as x approaches 0 of e^{-1/(x^2)}

x \to 0 lim (e^{- \frac{1}{x ^{2}}})

simplify 6/(2-4x)simplify

\frac{6}{2 - 4 x}

derivative of xe^{x^2y}

\frac{d}{d x} (x e^{x^{2} y})

Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of x-1/(x^2) ?
The integral from-2 to-1 of x-1/(x^2) is -2