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anonymous

  • 5 years ago

whats the anti-derivative of -4sqrtx??? having a hard time with this

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  1. anonymous
    • 5 years ago
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    -4 x^3/2 *2/3

  2. anonymous
    • 5 years ago
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    did you get that by the second derivative?

  3. anonymous
    • 5 years ago
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    wait taht doesnt make sense... -4x^3/2 times 2/3?

  4. anonymous
    • 5 years ago
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    no....thats integration

  5. anonymous
    • 5 years ago
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    do you take the anti-derivative of the derivative then?

  6. anonymous
    • 5 years ago
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    that answer doesnt seem right.. and whats the *2/3??

  7. anonymous
    • 5 years ago
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    You can bring the -4 out because your integrating and -4 is a constant. So now you are just integrating sqrt(x), which can be re-written as x^(1/2). The rule with integration is the exponent + 1 and divide by the new exponent. So that leaves you with x^(3/2) divided by (3/2) and then time the -4 you pulled out in the beginning.

  8. anonymous
    • 5 years ago
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    i gotcha... i was reading your answer wrong .. my bad ..

  9. anonymous
    • 5 years ago
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    thank you a lot

  10. anonymous
    • 5 years ago
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    what about (-3/x)? i got -6x^(1/2)?

  11. anonymous
    • 5 years ago
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    Well once again we can pull -3 out to make our lives easier. After doing that we get 1/x. The integral of 1/x is because if you try to integrate this normally you would get x^0 and that is not right. If you would like a full proof of why its lnx, I can send a link. So after integration we get -3ln(x) + C

  12. anonymous
    • 5 years ago
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    can you send that link?

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spraguer (Moderator)
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