calculus

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

  1. 👍
  2. 👎
  3. 👁
  1. Did you read my previous answer?

    1. 👍
    2. 👎
  2. yes, but I wasn't sure of the final answer from your answer.

    1. 👍
    2. 👎
  3. 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.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Express 4 8/9 as an improper fraction A. 36/9 B. 21/9 C.44/9 D. 40/9 B?

  2. Chemistry

    What is the complete ionic equation for NaOH(aq) + Fe(NO3)3(aq)? I'm putting this on webassign, but it's telling me "One or more of your reactants appear to have an improper oxidation state. One or more of your products contains

  3. Calculus

    Which of the following is an improper integral? a) integral from 0 to 3 of (x+1)/(3x-2) dx b) integral from 1 to 3 of (x+1)/(3x-2) dx c) integral from -1 to 0 of (x+1)/(3x-2) dx d) None of these Please help I don't know which one?

  4. math

    write each mixed number as an improper fraction 1 7/8

  1. Business Math

    Convert the following mixed number to an improper fraction: 12 3/4

  2. math

    Write 7 3/5 as an improper fraction

  3. Math

    Write 3 1/3 as an improper fraction.

  4. 11th grade

    what is the 10 and 5 \12 as equilvalent improper fraction

  1. Math

    Write 2 1/2 as an improper fraction.

  2. Algebra

    a student's work to solve 2 6/7 divided by 2/7 is shown below. which of the following statements do you agree with? 2 6/7 divided by 2/7 = 19/7 divided by 2/7= 7/19 times 2/7= 7/19 times 2/7=2/19 cross out the 7 in the first one

  3. calculus

    determine whether the improper integral diverges or converges. evaluate if it converges. integral of e^-xcosxdx from 0 to infinity i got the limit as b--> infinity for (-e^-xcosx + e^-xsinx) /2 Would I plug in my value for

  4. math

    write 5 3/10 as an improper fraction a. 53/10 b. 25/10 c. 47/10 d. 50/10

You can view more similar questions or ask a new question.