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2 Integral & 1 exponental problem.

  1. Sep 7, 2009 #1
    1. The problem statement, all variables and given/known data
    Pictures courtesy of my ms paint skills.
    1.http://img38.imageshack.us/img38/6023/problemb.png [Broken]
    2.http://img32.imageshack.us/img32/7499/problem2o.png [Broken]
    3.http://img44.imageshack.us/img44/5445/problem3.png [Broken]
    These problems are so easy I hardly ever see them or get to apply there rules. So I need see if I'm doing these few problem right.
    2. Relevant equations
    1. use a/b+c 2. use a+b/c


    3. The attempt at a solution
    1. x+(x^2/2)
    2.x+lnx


    (e^x^2)^2= e^2x^2

    I await your responses thanks.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 8, 2009 #2
    One way to learn to try some website like below:-
    http://integrals.wolfram.com/index.jsp

    then rework your solutions with the tools you have learnt.
    simplify the difficult part into simpler ones and work on it.

    Wanna try first? Thanks
     
  4. Sep 8, 2009 #3
    You're a bit off on 1 and 2. For 1, the trick is to add and subtract 1 from the numerator and then divide. Knowing the antiderivative of 1/(1+x^2) is helpful here.

    For 2, just divide, which is what you seemed to have done. But the antiderivative of 1/x^2 is not ln(x).

    For 3, if all you have to do is simply, then yes you should get e^(2x^2).
     
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