fraction

  1. J

    Integral Problem - Power of n

    This is the book answer this is my answer using integration by parts How to convert my answer to the book answer?
  2. B

    how can i solve for h in this fraction?

    820/(1+h/6400)2 <10 thanks!!820(1+h6400)2<10
  3. U

    Help me to solve it, please.

    A unit fraction is a fraction of the form 1/n where n is a positive integer. Note that the unit unifraction 1/11 can be written as the sum of two unit fractions in the following three ways: 1/11=1/12+1/132=1/22+1/22=1/132+1/12 Are there any other ways of decomposing 1/11...
  4. X

    express (1/ (x+2)^2) ) into partial fraction

    is it possible to do that ? i tried that , but o get back (1/ (x+2)^2) ) my working is (1/ (x+2)^2) ) = [ A / (x+2) ] + [ B / ((x+2)^2) ] 1= A (x+2) + B then i sub x = -2 , i gt B = 1 then i sub x= 1 , A = 0 can someone explain , i am confused.
  5. U

    Partial Fraction Integration...3

    This is a monster problem. ∫ (x² - 5x + 16)/[(2x + 1)(x - 2)²] dx (x² - 5x + 16)/[(2x + 1)(x - 2)²] = A/(2x + 1) + B/(x - 2) + C/(x - 2)² x² - 5x + 16 = A(x - 2)² + B(2x + 1)(x - 2) + C(2x + 1) I am stuck here.
  6. U

    Partial Fraction Integration...2

    ∫ dx / (1 - x^2) = ∫ dx / (1 + x)(1 - x) = ∫ A dx / (1 + x) + ∫ B dx / (1 - x) 1 / (1 - x^2) = A / (1 + x) + B / (1 - x) Multiplying through by (1 - x^2) gives 1 = A(1 + x) + B(1 - x) Combining like terms gives 1 = (A - B)x + (A + B) I am stuck here.
  7. U

    Partial Fraction Integration...1

    ∫ 1/(x^3 + x^2) dx Factor the denominator: ∫ 1/[x^2(x + 1)] dx I now break this up into partial fractions. By Partial fractions: 1/[x^2(x + 1)] = A/x + B/x^2 + C/(x + 1) Multiplying through the fractions gives me: 1 = Ax(x + 1) + B(x + 1) + Cx^2 I am stuck here.
  8. U

    Partial Fraction Decomposition

    We started learning integration by partial fraction decomposition. For the most part, I understand what to do. However, there are two particular cases I am a bit confused about. Sometimes, one of the numerators is Bx + C and depending on the problem, a fraction can be divided into three parts...
  9. X

    partial fraction of (1+s^2) / [ (s^2) ((s+3)^2 ) ]

    what's wrong with my working , i cant get the correct ans although i have checked many times .
  10. A

    converting decimals to fractions - help!

    Hi everyone, I've got a very simple question whose answer I can't seem to understand. It's basic math, hopefully it's in the right forum as I didn't consider it complicated enough for the Algebra section. I've got the following problem: \frac{0.93 - 0.90} {0.90} I'm told to find the result...
  11. I

    Fraction Devision Q.

    1 1/2 divided by 3/4 (Workings out) 4 3 --- x ----- 2 4 = 16 ---------- 6 (simplify) = 2 4/6 I checked the answer and it equals just 2. What about the remainders?
  12. M

    Enter the exact answer as a single fraction. Rationalize the denominator, if required

    cos(cos-13/4+tan-13) Enter the exact answer as a single fraction. Rationalize the denominator, if required
  13. K

    How to convert this fraction ?!?!!

    So this problem actually came up as part of an explanation within a larger discussion on inverse differential operators. Best I can tell though, this should be a really straightforward algebraic fraction transformation. Can somebody help me out? 1/(1-D/3+4(D^2)/9) = 1 + D/3 - (D^2/)3 How on...
  14. Q

    Solve the complex fraction

    − 6 (x2−y2) x−2−y−2 =? I was thinking along the lines of -6(x2-y2)/ 1/x2-y2 -> -6(x2-y2) *x2-y2 -> -6(x2-y2)2 but that's wrong
  15. I

    Integral with Fraction Decomposition

    Hello! Most fraction decompositions I can do. Here's a type I don't know. ∫ (2u+3)/(5u+8) du = ? How do I divide that? The answer should be this. . . (How do you get that from scratch?) ∫ { 2/5 - 1/5 * [1/(5u+8)] } du I can multiply and subtract to get back. So it works. But I would be...
  16. D

    Fraction with exponent

    If there is a parentheses around a fraction and an exponent is outside do you multiply the entire problem?
  17. TriForce

    Limit of a fraction with e and ln

    Need help with finding the limit: (e^(2/x)-1)/(ln(2x+1)/2x) when x->inf Mathematica: Limit[(E^(2/x) - 1)/Log[(2 x + 1)/2 x], x -> Infinity]
  18. A

    Finding volume using methods of partial fraction

    How in the world did they get 1/10 for their variables? I got 1/10.
  19. A

    Integration using partial fraction

    I understand everything but combining the the constant 1/2.... How did they do it?
  20. A

    Methods of partial fraction

    I used wolfram alpha to check my answer (located in Part 2). What they got is different from mine. I don't know if they simplified their answer which might be the reason why it looks different from my answer. Do you think it's the same?