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Math Help - [SOLVED] Substitution Rule (Integration)

  1. #1
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    [SOLVED] Substitution Rule (Integration)





    I'm not sure about something - should my u be (x^2+10x+26)^{-1} or 1/(x^2+10x+26) ? And do I use the general power rule after the substitution?
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  2. #2
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    I believe you maybe able to do this using the partial fractions method rather than substitution.
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  3. #3
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    I'd rather stick to the substitution rule if that's possible. I haven't learned about partial fractions method yet.
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  4. #4
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    Quote Originally Posted by Archduke01 View Post





    I'm not sure about something - should my u be (x^2+10x+26)^{-1} or 1/(x^2+10x+26) ? And do I use the general power rule after the substitution?

    Try u=x^2+10x+26

    du=(2x+10)dx=2(x+5)dx
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  5. #5
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    I don't quite understand, sorry.
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  6. #6
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    hmmmm I can't explain my reasoning but as you know the top is two times the derivative of the bottom you can say 2ln(x^2+10x+26).
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  7. #7
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    Quote Originally Posted by Fermatwannabe View Post
    hmmmm I can't explain my reasoning but as you know the top is two times the derivative of the bottom you can say 2ln(x^2+10x+26).
    Alright thanks, I solved it.
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