Integral of Absolute Value of x: A Simple Explanation

  • Thread starter pureouchies4717
  • Start date
  • Tags
    Integral
In summary, a simple integral is a mathematical representation of the area under a curve and is used to calculate the total value of a function over a given interval. To solve a simple integral, one must identify the function and limits of integration, and then use integration techniques to find the area under the curve. Simple integrals are important in science as they allow for the analysis and prediction of real-world phenomena. They can also be used to find the average value of a function. However, they have limitations in that they can only be used for continuous functions and may not yield exact solutions for some functions. They also require knowledge of integration techniques and can be time-consuming for complex functions.
  • #1
pureouchies4717
99
0
what is the integral of absolute value of x?
 
Physics news on Phys.org
  • #2
[tex](|x|x)/2[/tex] should be the answer
 
Last edited:
  • #3
nick727kcin said:
what is the integral of absolute value of x?

For real x, [tex]\int |x|dx = \frac{x|x|}{2}+C[/tex]

this was not my work, but rather I looked it up here, on the Wolfram Reasearch Functions website, namely

http://functions.wolfram.com

--Ben
 
  • #4
thanks guys
 

1. What is a simple integral?

A simple integral is a mathematical representation of the area under a curve. It is used to calculate the total value of a function over a given interval.

2. How do you solve a simple integral?

To solve a simple integral, you need to first identify the function and the limits of integration. Then, use integration techniques such as substitution or integration by parts to solve for the area under the curve.

3. What is the importance of simple integrals in science?

Simple integrals are important in science because they allow us to calculate the total value of a function, which can then be used to analyze and make predictions about real-world phenomena. They are used in physics, engineering, and other fields to solve problems and understand complex systems.

4. Can simple integrals be used to find the average value of a function?

Yes, simple integrals can be used to find the average value of a function over a given interval. This is done by dividing the total value of the function by the interval length.

5. Are there any limitations to simple integrals?

Simple integrals have limitations in that they can only be used for continuous functions and may not yield exact solutions for some functions. They also require knowledge of integration techniques and can be time-consuming to solve for complex functions.

Similar threads

  • Calculus and Beyond Homework Help
Replies
5
Views
347
  • Calculus and Beyond Homework Help
Replies
2
Views
913
  • Calculus and Beyond Homework Help
Replies
3
Views
359
  • Calculus and Beyond Homework Help
Replies
3
Views
913
  • Calculus and Beyond Homework Help
Replies
10
Views
432
  • Calculus and Beyond Homework Help
Replies
7
Views
702
  • Calculus and Beyond Homework Help
Replies
24
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
751
Replies
5
Views
670
  • Calculus and Beyond Homework Help
Replies
9
Views
754
Back
Top