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Questions With Integral Calculus

  1. Dec 5, 2011 #1
    1. The problem statement, all variables and given/known data

    find the following integrals.

    2. Relevant equations

    1. ∫2x^3 sin(x^2)dx

    2.∫ x(2x-3)^1/3dx

    3. The attempt at a solution

    Using U-Sub for number 2 i ended with ((3(2x-3)^7/3)/28)+((9(2x-3)^4/3)/16)+C

    I apologize for the form but I'm new here and dont really know how all the notations work.

    The answer I got for problem 2 just looked weird to me and when i try to check the work integrating on my TI-89 i get an error message saying "invalid implied multiply".

    Problem 1 I am completely lost on I've tried using substitution but I'm having troubles with what term i should be using...
     
  2. jcsd
  3. Dec 5, 2011 #2

    HallsofIvy

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    For (1), first let u= x2, then use integratation by parts.

    You have (2) correct.
     
  4. Dec 5, 2011 #3

    ehild

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    Do you mean

    [tex]\frac{3}{28}(2x-3)^{7/3}+\frac{9}{16}(2x-3)^{4/3}+C[/tex]?

    That is wrong.

    ehild
     
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