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abs4

  • 2 years ago

how to integrate when the power is -1 therefore the whole power comes as 0

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  1. badreferences
    • 2 years ago
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    You mean\[\int x^{-1}\]

  2. abs4
    • 2 years ago
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    yeah..:)

  3. wio
    • 2 years ago
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    Remember that if \(\large f(x) = \ln(x) \) then \(\large f^\prime(x) = \frac{1}{x}\)

  4. badreferences
    • 2 years ago
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    Yeah, what @wio said.

  5. wio
    • 2 years ago
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    Integration is just finding the anti-derivative!

  6. abs4
    • 2 years ago
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    so if i want to integrate -3x ^ (-1) then what is the answeR?

  7. badreferences
    • 2 years ago
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    \[\int(-3)x^{-1}\,dx=-3\int\frac1x\,dx=-3\ln|x|+C\]

  8. abs4
    • 2 years ago
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    ok thanks! :)

  9. hartnn
    • 2 years ago
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    @abs4 \(\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile\)

  10. badreferences
    • 2 years ago
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    Aw dang @hartnn you're like late.

  11. hartnn
    • 2 years ago
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    lol! late for what?

  12. badreferences
    • 2 years ago
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    The welcome comes first, so that the person who answers the question looks more awesome.

  13. badreferences
    • 2 years ago
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    Like, "Welcome, but we already know the answer you plebe."

  14. hartnn
    • 2 years ago
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    oh, i didn't want to interrupt the explanation.....

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spraguer (Moderator)
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