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MathSofiya

\[\int_{0}^{1} \frac{1}{1+\sqrt[3]{x} } dx\] \[u=\sqrt[3]{x}\] \[du=\frac 1 3 \frac{1}{\sqrt[3]{x^2}}dx\] \[3du=\frac{1}{\sqrt[3]{x^2}}dx\] \[3\sqrt[3]{x^2}du=dx\] \[3u^2du=dx \*\possible\error\] \[\int_{0}^{1} \frac{3u^2}{1+u } du\] \[3\int_{0}^{1} \frac{u^2}{1+u } du\] long division \[u-1+\frac{1}{u+1}\] \[3\int_{0}^{1} udu-3\int_{0}^{1} 1du+3\int_{0}^{1} \frac{1}{u+1}du\] something is missing... <looking sideways :\ >

  • one year ago
  • one year ago

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  1. MathSofiya
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    where did the crowd go? Come back....!!!!!

    • one year ago
  2. Thomas9
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    I'm not very good at these I'm afraid.

    • one year ago
  3. MathSofiya
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    yes you are! believe in yourself!1 We'll work through this together

    • one year ago
  4. slaaibak
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    busy reading through it now.. how do you know you are wrong btw?

    • one year ago
  5. MathSofiya
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    well...I simply slapped a 2 over the u. But It didn't seem to belong there since it was originally under the radicant

    • one year ago
  6. slaaibak
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    it's correct. Also, not sure what you mean by "slapped a 2 over the u" haha

    • one year ago
  7. MathSofiya
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    i throw my numbers around...ok well, what about the long division?

    • one year ago
  8. slaaibak
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    also correct

    • one year ago
  9. MathSofiya
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    silly question, what do I have to do to mathematically check that....what do I multiply it to? I know, silly question....

    • one year ago
  10. slaaibak
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    you just add it up

    • one year ago
  11. MathSofiya
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    <looking sideways>

    • one year ago
  12. slaaibak
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    should give you the same thing you started with

    • one year ago
  13. MathSofiya
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    aaahhhhh...got it! create a common denominator and add

    • one year ago
  14. slaaibak
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    haha yeah, that's it. sorry, I'm not very clear haha

    • one year ago
  15. MathSofiya
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    thank you @slaaibak

    • one year ago
  16. slaaibak
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    glad to help, although you mastered it yourself :)

    • one year ago
  17. dpaInc
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    yep... i don't see anything wrong...

    • one year ago
  18. MathSofiya
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    Thanks everyone! Just needed the reassurance. I don't trust my own book keeping

    • one year ago
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