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Math Help - Indefinite Integral

  1. #1
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    Indefinite Integral

    Just bummed on this question here.. :

    ∫(pi/ax+b)dx

    Thanks so much!

    Step by step teaching if possible.. Thank you so much. I want to learn!
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  2. #2
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    Quote Originally Posted by gearshifter View Post
    Just bummed on this question here.. :

    ∫(pi/ax+b)dx

    Thanks so much!

    Step by step teaching if possible.. Thank you so much. I want to learn!
    Dear gearshifter,

    \int{\frac{\pi}{ax+b}} dx

    Since you could take constants out of the integration sign,

    \int{\frac{\pi}{ax+b}} dx=\pi\int{\frac{1}{ax+b}} dx

    Therefore, \int{\frac{\pi}{ax+b}} dx =\pi\int{\frac{1}{ax+b}} dx=\frac{\pi\ln(ax+b)}{a}+C ; Where C is an arbitary constant.

    Hope this will help you.
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