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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


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    Science Advisor

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

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


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    Homework Helper

    Do you mean


    That is wrong.

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