anonymous
  • anonymous
whats the anti-derivative of -4sqrtx??? having a hard time with this
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
-4 x^3/2 *2/3
anonymous
  • anonymous
did you get that by the second derivative?
anonymous
  • anonymous
wait taht doesnt make sense... -4x^3/2 times 2/3?

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anonymous
  • anonymous
no....thats integration
anonymous
  • anonymous
do you take the anti-derivative of the derivative then?
anonymous
  • anonymous
that answer doesnt seem right.. and whats the *2/3??
anonymous
  • anonymous
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.
anonymous
  • anonymous
i gotcha... i was reading your answer wrong .. my bad ..
anonymous
  • anonymous
thank you a lot
anonymous
  • anonymous
what about (-3/x)? i got -6x^(1/2)?
anonymous
  • anonymous
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
anonymous
  • anonymous
can you send that link?

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