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^2-4)

Solution

\int_{1}^{2} (x^{2} - 4) d x

Solution

- \frac{5}{3}

+1

Decimal Notation

- 1.66666 \dots

Solution steps

\int_{1}^{2} x^{2} - 4 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} 4 d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

\int_{1}^{2} 4 d x = 4

= \frac{7}{3} - 4

Simplify

\frac{7}{3} - 4 : - \frac{5}{3}

= - \frac{5}{3}

Popular Examples

integral of 2cos^2(t)sin^2(t)

\int 2 cos^{2} (t) sin^{2} (t) d t

tangent of f(x)=x^2+3x+5,(1,9)tangent of

f (x) = x^{2} + 3 x + 5, (1, 9)

integral of arccot(10x)

\int arccot (10 x) d x

(\partial)/(\partial y)(e^{(x+y)})

\frac{\partial}{\partial y} (e^{(x + y)})

integral of x/(sqrt(2x+7))

\int \frac{x}{2 x + 7} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^2-4) ?
The integral from 1 to 2 of (x^2-4) is -5/3