Calculus
posted by Isaac
There is this improper integral problem I've been given. I've completed most of it but still don't understand what I'd get, I don't quite get what it means to go from 'e' to 'infity'. What would I get?
ln(x)+1/x from 'e' to 'infinity' + 1/x from 'e' to 'infinity'.

Steve
technically, it means to evaluate the limit as x>∞, but in practice you can just "substitute" ∞ in for x in the expression.
For example, 1/∞ = 0
e^∞ = 0
But, ln(∞) = ∞, so that may not help much. It could be that your final value is ∞, or undefined.
Respond to this Question
Similar Questions

Calculus
integral oo, oo [(2x)/(x^2+1)^2] dx (a) state why the integral is improper or involves improper integral *infinite limit of integration (b) determine whether the integral converges or diverges converges? 
calculus
how would you do this improper integral 1/(x1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x1) from 01 and ln(x1) from 12 I then did for the first one the (lim t>1() of ln(t1))(ln(01)) and … 
calculus
1. integral oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? 
calculus
how would you do this improper integral 1/(x1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x1) from 01 and ln(x1) from 12 I then did for the first one the (lim t>1() of ln(t1))(ln(01)) and … 
calculus
f'(x) < 0 if x < 1 And apparently this means f is decreasing on (1, 1). I don't understand this. I know f'(x) < 0 means the function is decreasing. But I don't understand the absolute value. It means I can put 1 or 1 inside, … 
Calculus 2
The question is: Evaluate the improper integral for a>0. The integral is: the integral from 0 to infinity, of e^(y/a)dy Can anyone help me solve this? 
Calculus: Integral
I don't understand how to do this one integral problem that involves secant. I'm asked to find the integral of sec^4 (4x). I'm not really sure how to go about solving this problem. 
English
Think About the work you completed in your reading role. Determine the ideas that would be most worthy to share in a literary discussion about Johnny Tremain. Provide an explanation for your choices. How did the role you select and … 
calculus help me pllllllllllz
Find out what kind of improper integral is given below §dx/{x^4+4}....? 
Math (Calculus II) (Weird Work Problem Setup Help)
I am trying to understand my teacher's example of a Work problem. Cut to the chase here's a picture of the problem: goo.gl/photos/AqZ6ENmHLg6heixD7 While I understand how to integrate fairly well, I'm still confused on how exactly …