Natural log fxn = negative integral?

Jules18
Messages
100
Reaction score
0

Homework Statement


True or false?

ln(1/10) = -\int dx/x

The Attempt at a Solution



I have no idea where to start on this one.

what is dx/x ??
 
Physics news on Phys.org
right side means that u are supposed to integrate with respect to x

-Integrate[1/x] with respect to x
 
This is obviously not true as posted. Are there limits of integration that we're not seeing?
I.e., does the integral look like this?
-\int_1^{10} \frac{dx}{x}
 
ok I get it. the limits are missing, it must be a typo, but otherwise this makes sense to me now thanks
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
Replies
3
Views
1K
Solve the given problem involving integration
Replies
6
Views
2K
Integrating an inequality for two functions of the same variable
Replies
9
Views
1K
Integration by Parts with Logarithmic Functions
Replies
13
Views
2K
How do I manipulate this to the form desired?
Replies
4
Views
2K
Trouble seeing the difference between autograder answer and my own
Replies
2
Views
1K
Integral Homework: Solving $\int_0^{\infty} \frac{\log (x+1)}{x(x+1)} dx$
Replies
8
Views
2K
Can you handle this integration with limits problem?
Replies
3
Views
2K
Why is this not a general solution to this nonlinear DE?
Replies
5
Views
1K
Definite integral using only properties
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top