What Is the Correct Approach to Solving \(\int \frac{1}{dx}\)?

[Sara991]

How do I solve this integral?

$$\int \frac{1}{dx}$$

 

[vela]

You can't. Did you by chance mean

$$\int \frac{1}{x}\,dx$$

 

[Sara991]

Hi dear

I mean:
$$\int \frac{1}{dx}$$

 

[vela]

That expression doesn't make sense. Where did it come from?

 

[Sara991]

I encounter with this, when I am solving a problem.

 

[HallsofIvy]

Then please give the entire problem. As vela said,
$$\int \frac{1}{dx}$$
simply doesn't mean anything.

 

[Sara991]

So Sorry, I am not able to explain it.

 

[Char. Limit]

Well, since [itex]\int dx[/tex] means a sum ($\int$) of an uncountably large amount of infinitesimally small numbers (dx's)...<br /> <br /> and since, if dx is infinitesimally small, 1/dx would be uncountably large...<br /> <br /> Then $\int \frac{1}{dx}$ means a sum of an uncountably large amount of uncountably large numbers...<br /> <br /> and so is uncountably large itself.[/itex]

 

[Hurkyl]

Ugh, first the opening poster won't go into where she got the expression so we can point out what she did wrong, but now people are giving her questionable advice.

Thread closed.