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-   -   Integration of square root of tanx minus square root of cotx (https://www.askmehelpdesk.com/showthread.php?t=436696)

  • Jan 19, 2010, 03:59 AM
    manasamanju
    integration of square root of tanx minus square root of cotx
    integration of square root of tan x minus square root of cot x
  • Jan 19, 2010, 09:57 AM
    galactus
    Quote:

    Originally Posted by manasamanju View Post
    integration of square root of tan x minus square root of cot x



    This one is a booger. To do this the easy way, see this site:

    Integral - Wolfram|Alpha

    Type in sqrt[Tan[x]]-sqrt[Cot[x]], the click on the little equals sign. It will give you the indefinite integral. It is long. This site will also show the steps, but with this one it is rather arduous.

    But, here's a start the top of my head:

    For

    Let

    This leads to:



    Now, let

    Then, we get:



    For

    Let

    Then, we get:



    Another sub similar to the first one gives:



    Now, can be tackled thusly:



    Divide top and bottom by :



    But, this looks odd. Let's make the sub:



    Let





    This gives:



    With some ingenuity, the first integral, , can be done this way.

    That is all I have time for now. As I said, this is doable, but tedious. That is what technology is for.

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