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How calcule this integral: x*e^x^2/e^x^2 + 1?

  1. Mar 23, 2013 #1
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    How calcule this integral: x*e^x^2/e^x^2 + 1

    Please help me.
     
    Last edited by a moderator: Mar 23, 2013
  2. jcsd
  3. Mar 23, 2013 #2

    Mentallic

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    Let [tex]u=e^{x^2}+1[/tex]
     
  4. Mar 23, 2013 #3
    and further? Thank you for your help.
     
  5. Mar 23, 2013 #4

    Mentallic

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    You need to show some effort. What do you do after making a u-substitution?
     
  6. Mar 23, 2013 #5
    du= e^x^2 dx normally.
     
  7. Mar 23, 2013 #6

    Mentallic

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    Not quite.

    [tex]\frac{d}{dx}e^{f(x)}=f'(x)\cdot e^{f(x)}[/tex]
     
  8. Mar 23, 2013 #7
    But after this, whats then. Sorry for my questions.
     
  9. Mar 23, 2013 #8

    Mentallic

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    Well first, apply the rule I just showed you. What does du equal?
     
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