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Integration using u substitution

  1. Mar 22, 2015 #1
    1. The problem statement, all variables and given/known data
    Evaluate the integral of (x+1)5^(x+1)^2

    2. Relevant equations

    3. The attempt at a solution
    I set my u=(x+1) making du=1dx. This makes it u*5^u^2. I integrated the first u to be ((x+1)^2/2) however I don't know what to do with the 5^u^2
  2. jcsd
  3. Mar 22, 2015 #2


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    You don't do integrals in pieces like that. Assuming that what you have is ##\int u 5^{u^2}~du## try another u type substitution ##w = u^2##. You may need to review your integration formulas for ##\int a^x~dx##.
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