Calculus AB

posted by .

I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -ln abs(x)+C. But the answer on the answer sheet has an extra +x that I did not account for. Is that a typo or did I integrate incorrectly?

  • Calculus AB -

    (x^2+1)/(x^2-x)=(x^2-x+x+1)/(x^2-x)=
    =1+(x+1)/(x^2-x)=1+2/(x-1)-1/x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc

    Find the critical number(s) of f(x)= abs(2x-4) What is the derivative of abs(2x-4)?
  2. maths complex numbers

    Can abs(28-7w)=7abs(w) be written as abs(w-4)=abs(w) and if so why surely it should be abs(4-w)=abs(w) can any one explain why I can just chane the signs Yes, it can be written that way. I don't see that you have changed any signs, …
  3. Math

    Solve. |3w-1| = |3w| or abs(3w-1) - abs(3w) I know you can use a calculator and find the answer easily, but we're supposed to know how to do this without a calculator.
  4. math

    would this be a correct proof of the cauchy-schwartz inequality: abs=absolute value abs(u*v) is less than or equal to abs(u)*abs(v). Then you divide both sides by abs(u)*abs(v) so that you get cos(theta) is less than or equal to 1.
  5. calculus

    Find the slope of the curve at the indicated point. f(x)= abs(x) at a. x=2 b. x=-3 f(x)= abs(x-2) at a. x-1
  6. Calculus

    Limit as x approaches 6: ((60-6x- abs(x^2-10x))/(abs(x^2-100)-64)
  7. calculus

    Sketch the curve y = x^3 - 12x^2 + 36x I already did the question properly it is concave down at (0,4) and concave up at (4,infinity) I found the abs max to be (2,32) and abs min to be (6,0) What I wanted to know is when labeling the …
  8. calculus 2

    Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a<=x<=b then integrate from …
  9. Calculus

    Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" that I refer to is the line you draw as you draw the absolute …
  10. Calculus

    Integrate x/(6x-5) dx The answer is 1/6 x + 5/36 ln abs (36x-30) + C... But I don't understand why it is 5/36 times ln.. I thought that when you factored out the 5 you would get 5 times ln abs (36x-30)..

More Similar Questions