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Homework Help: Integral of problem

  1. Dec 2, 2009 #1
    1. The problem statement, all variables and given/known data
    I have two problems that I am stuck on, any help would be appreciated
    1. the Integral of (1+2t^8)^20 * t^7 dt
    2. the Integral from 0 to 1 of dx/(x*ln(X^5))

    2. Relevant equations

    3. The attempt at a solution
    for 1. I know that to something like this with a lower power you should multiply it out and then use the power rule, but am I stuck multiplying out 1+2t^8 twenty times?
    for 2. Calculator gave me various errors. I suspect that the answer is zero, but I'm not sure.

    Thanks to anyone who decides to post
  2. jcsd
  3. Dec 2, 2009 #2


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    Homework Helper

    For number 1, have you tried u-substitution? Whenever you have an integral that you can't immediately figure out how to integrate, you should always try u-substitution.

    For part 2, you can simplify ln(x^5) into 5lnx. Can you find the indefinite integral from here?
  4. Dec 2, 2009 #3
    for question 2,
    You've got a problem with this question which u will find out once u find the indefinite integral. x can't equal to either 1 or 0.
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