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anonymous

  • 5 years ago

anti-derivative (1)/x^2dx

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  1. amistre64
    • 5 years ago
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    \[\int x^{-2}\ dx\]

  2. amistre64
    • 5 years ago
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    to derive a power we multiply and subtract 1, to undo that we add 1 and divide

  3. anonymous
    • 5 years ago
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    So would my answer be (-1/3x^3)?

  4. amistre64
    • 5 years ago
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    it would; +C

  5. amistre64
    • 5 years ago
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    opps, read it wrong: -1/3 x^-3

  6. amistre64
    • 5 years ago
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    +C ....

  7. amistre64
    • 5 years ago
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    \[\int x^{-2}\ dx=-\frac{1}{1}x^{-1}=-\frac{1}{x}+C\] thats better

  8. anonymous
    • 5 years ago
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    okay thanks. I need to know how to type another problem but I do not know how to type it in integral notation. COuld you explain how to do that please?

  9. amistre64
    • 5 years ago
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    I gotta get to class at the moment; but good luck :)

  10. anonymous
    • 5 years ago
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    ok well later Thanks. :)

  11. anonymous
    • 5 years ago
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    use the power rule backwards

  12. anonymous
    • 5 years ago
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    \[\frac{d}{dx}x^n=nx^{n-1}\] \[\int x^n dx=\frac{x^{n+1}}{n+1}\]

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spraguer (Moderator)
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