en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 2 of (x^2-3x)

Solution

\int_{- 1}^{2} (x^{2} - 3 x) d x

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

\int_{- 1}^{2} x^{2} - 3 x 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_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 3 x d x

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

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

= 3 - \frac{9}{2}

Simplify

3 - \frac{9}{2} : - \frac{3}{2}

= - \frac{3}{2}

Popular Examples

(dx}{dy}=\frac{x^2y+y^3)/x

\frac{d x}{d y} = \frac{x ^{2} y + y ^{3}}{x}

(\partial)/(\partial x)(cos^3(x^8y^8))

\frac{\partial}{\partial x} (cos^{3} (x^{8} y^{8}))

derivative of 1/(x*ln(x))

\frac{d}{d x} (\frac{1}{x \cdot ln ( x )})

limit as x approaches-2+of-6

x \to - 2 + lim (- 6)

solvefor f,tan(f)(x)=(sqrt(x)+1)/(sqrt(x^3))solve for

f, tan (f) (x) = \frac{x + 1}{x ^{3}}

Frequently Asked Questions (FAQ)

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