Recent content by julian92

  1. J

    Integrate (x^3)sqrt(x^2 + 8) dx - Homework Solution

    I didn't really take a look at your solution But in order to solve the integral ,, just substitute >>> u = 8 + x^2 it's straight forward ;)
  2. J

    Find the arc length of f(x) (x^(5/4))/5

    just make the integral like this >>> int of (1/4)Sqrt(16+ Sqrt(x)) dx then you can substitute >> u = 16 + sqrt(x) it'll be easy ;)
  3. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    Ahaaaa ,, that's entirely awesome :D thanks soooooo much ,, to all of you guys :) now ,, i can go to rest :)
  4. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    But i can't factor (x^4)+1 i mean it's (x^4)+1 ,, not (x^4)-1 i don't know how to use partial fractions with that !
  5. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    hey guys ,, i managed to make the integral look like this [2][int{1/(1+(u^4)) du}] would that be any good !
  6. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    at what step exactly?! and how can i do that ?! would you please show me how :) :blushing:
  7. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    it tried it ,, it would also give me : (constant) times int{Sqrt(tan w) dw}
  8. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    are you sure about the partial fractions? ,, because i didn't enjoy any ! i got the Integral of (2(y^2) / (1 + y^4))dy !
  9. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    Umm ,,, i tried what you said ,, i think that will turn the integral back to itself :S except i'll get Integral of Sqrt(tan(x))dx I'm really stuck now :biggrin: Thanks by the way I appreciate it :D and if you get any ideas i'll be glad to try some :)
  10. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    I think that won't work ,, bcoz i'll get Integral of (Sqrt(u)/(1+u^2))du then what the next step?! i also tried integration by parts after the step u mentioned ,, but it just gets more complicated :confused: More Help Is Appreciated :)
  11. J

    Finding the area of a circle using integration

    You can always get the radius from circle equations ! However, all circle equations are integrated by trigonometric substitution and it can also be done by integration by parts but that is a bit tricky!
  12. J

    Mastering Tricky Integrals: Solving sqrt(cot[x])dx with a Substitution

    a bit tricky integral! Homework Statement Integral of (sqrt(cot[x])dx) Homework Equations I just need a hint :) The Attempt at a Solution
  13. J

    Integrating a Circle: Contour Integration Technique

    I'm really not sure about the difference of the two :S Does each one have a different method of integration? Thanks in advance :)
  14. J

    Integrating a Circle: Contour Integration Technique

    thanx for the reply :smile: well ,, the thing is that I'm not really good at contour integration ,, I've been searching for a text to study contour integration for ages ,, and still can't find one with good details and examples and still don't know when to use contour integration! and...
  15. J

    Integrating a Circle: Contour Integration Technique

    Homework Statement integrating a circle ,, my main question is that, can we integrate it by contour integration technique ? and if yes ,, would you please show me how :) or just give me a hint :D Thanks is advance :-) Homework Equations y^2 + x^2 = a^2 where a= r suppose...