Posted by **sarah** on Sunday, February 10, 2008 at 10:54pm.

how would you do this improper integral

1/(x-1)

from 0 to 2

this is improper at one, so I split it up into two integrals

ln(x-1) from 0-1 and

ln(x-1) from 1-2

I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1))

and then the same thing for the second part

I didn't know if this was right though, or what the answer would be

- calculus -
**drwls**, Sunday, February 10, 2008 at 11:27pm
Did you read my previous answer?

- calculus -
**sarah**, Sunday, February 10, 2008 at 11:39pm
yes, but I wasn't sure of the final answer from your answer.

- calculus -
**drwls**, Monday, February 11, 2008 at 2:26am
I left the final calculation up to you. If you define the integral as the sum of two parts that each approach within a distance a of x=1, and let a gapproach zero, than the answer will be zero because the two parts will always cancel, not matter how small a is.

## Answer this Question

## Related Questions

- calculus - how would you do this improper integral 1/(x-1) from 0 to 2 this is ...
- calc - how would you do this improper integral 1/(x-1) from 0 to 2 this is ...
- Calculus - integral -oo, oo [(2x)/(x^2+1)^2] dx (a) state why the integral is ...
- Calculus - What is the connection between improper integrals, Riemann sums, and ...
- calculus - 1. integral -oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta...
- Calculus (improper integrals) - the integral from 0 to lnx of lnx/(x^1/2) thanks...
- improper integral - can any one explain how to evaluate this improper integral i...
- Calculus 2 - The question is: Evaluate the improper integral for a>0. The ...
- Calculus - I have two questions, because I'm preparing for a math test on monday...
- Calculus - Integrals: When we solve for area under a curve, we must consider ...

More Related Questions