en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 5 of |x^2-4|

Solution

\int_{0}^{5} x^{2} - 4 d x

Solution

\frac{97}{3}

+1

Decimal Notation

32.33333 \dots

Solution steps

\int_{0}^{5} x^{2} - 4 d x

Eliminate Absolutes

= \int_{0}^{2} - x^{2} + 4 d x + \int_{2}^{5} x^{2} - 4 d x

\int_{0}^{2} - x^{2} + 4 d x = \frac{16}{3}

\int_{2}^{5} x^{2} - 4 d x = 27

= \frac{16}{3} + 27

Simplify

\frac{16}{3} + 27 : \frac{97}{3}

= \frac{97}{3}

Popular Examples

integral from-1 to 1 of |ln(x+1.5)|^3

\int_{- 1}^{1} ∣ ln (x + 1.5) ∣^{3} d x

integral from 1 to 4 of (sqrt(x))^2

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

integral from 0 to 2 of sqrt((t+2)^2-3)

\int_{0}^{2} (t + 2)^{2} - 3 d t

integral from 0 to 1 of (y/(1+xy))

\int_{0}^{1} (\frac{y}{1 + x y}) d x

integral from 0 to 3 of (x+5)

\int_{0}^{3} (x + 5) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |x^2-4| ?
The integral from 0 to 5 of |x^2-4| is 97/3