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theEric

I used Wolfram Alpha to see that \(\int x^{-1} dx=\ln\left|x\right|+C\), even though I don't understand why. But what about \(\int f(x)^{-1}dx\)? Wolfram Alpha couldn't come up with a formula. So, is this a problem when trying to solve with substitution?

  • 7 months ago
  • 7 months ago

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  1. Dido525
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    That's basically the integral of 1/f(x) . There are many possibilities depending on what f(x) is.

    • 7 months ago
  2. Dido525
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    you may have to use techniques other than substitution possibly.

    • 7 months ago
  3. Dido525
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    For instance if f(x) is 1+x^2 than we have the integral of 1/(1+x^2) which is arctan(x) + c

    • 7 months ago
  4. dan815
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    |dw:1377755678612:dw|

    • 7 months ago
  5. theEric
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    Okay! So, if the function is know, then we just try to integrate it. Thank you!

    • 7 months ago
  6. theEric
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    I'm going to ask about the specific problem in another post. This one is done, thanks! :)

    • 7 months ago
  7. Dido525
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    Allright :) .

    • 7 months ago
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