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Integration (substituition)

  1. May 2, 2014 #1
    1. The problem statement, all variables and given/known data

    for this question, the question only stated SUITABLE substituition, what substituition should i use? this substituion does not involve trigo functions , am i right? P/S : i'm just asking opinion, not the full working.

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. May 2, 2014 #2


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    No, you don't need trig functions. Use a substitution that will get rid of the square root.
  4. May 2, 2014 #3
    what should i sub? how to determine the substitution for this type of question? can i sub u= surd x ? or u=( 1+ surd x ) ? or u=(( 1+ surd x ) sqrt)
  5. May 2, 2014 #4


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    Why don't you try it and see? Both ##u = \sqrt{x}## and ##u = 1 + \sqrt{x}## work but one gives a quicker and neater answer.
  6. May 4, 2014 #5
    for this type of question, can i use any substituition i like such as u=(1+ surd x )^2 ?
  7. May 4, 2014 #6


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    You can TRY any substitution you like, they won't all help you to integrate. Don't forget when you substitute u=f(x) you also have to find du so you can figure out how to express the dx part in terms of u.
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