answersLogoWhite

0


Best Answer

For positive x, this expression is equal to 1. The integral (anti-derivative) is therefore x + C (where C is the arbitrary integration constant).

For negative x, this expression is equal to -1, and the integral is -x + C.

Wolfram Alpha gives the integral as x times sgn(x), where sgn(x) is the "sign" function.

User Avatar

Wiki User

โˆ™ 2010-11-15 00:52:23
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.81
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1749 Reviews

Add your answer:

Earn +20 pts
Q: What is the anti-derivative of the absolute value of x over x?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the antiderivative of 1 over xlnx?

It is ln(ln(x))


What is the absolute value of -x?

Absolute value of -x is x.


How do you take the antiderivative of 1 over x?

The general formula for powers doesn't work in this case, because there will be a zero in the denominator. The antiderivative of 1/x is ln(x), that is, the natural logarithm of x.


What is the absolute value of 19?

The absolute value of 19 is 19. If x is positive , absolute x equals x.


What does the symbol x with an arrow over it stand for?

absolute value


How can you calculate the arbitrary constant in the solution to an antiderivative?

You can't, unless it's an initial value problem. If f(x) is an antiderivative to g(x), then so is f(x) + c, for any c at all.


What is the absolute value of x minus the absolute value of x?

zero. The absolute value of a number is just the positive version of that number, so the absolute value of x is x, and x minus x is zero.


What is the antiderivative of x to the -1?

Antiderivative of x/-1 = -1(x^2)/2 + C = (-1/2)(x^2) + C Wolfram says antiderivative of x^-1 is log(x) + C


What is the antiderivative of x to the 1?

By antiderivative do you mean integral? If yes, integral x^1 dx= (x^2)/2


What does absolute values represent?

The absolute value of a number is its distance, on the number line, of the number from 0. If x is non-negative, its absolute value is x; and if x is negative then the absolute value is -x (which is positive).


What is the domain of f of x equals x over the absolute value of x - 3 then - 1?

2


What is the absolute value of a negative integers?

The absolute value of a number is how many spaces the number is away from 0. So if the number was 32, the absolute value would be 32. And if the number was -54, then the absolute value would be 54. ========== The definition of "absolute value" for a number x (written as |x| ) is: |x| = x for x >0 |x| = 0 for x=0 |x| = -x for x<0

People also asked