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Dido525 Group Title

Evaluate the intergral:

  • 2 years ago
  • 2 years ago

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  1. Dido525 Group Title
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    |dw:1355802290129:dw|

    • 2 years ago
  2. Dido525 Group Title
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    I thought I could use substitution but I can't ...

    • 2 years ago
  3. winterfez Group Title
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    is this right? \[\int\limits_{0}^{4}\frac{ x }{ \sqrt{1+2x} }\]

    • 2 years ago
  4. Dido525 Group Title
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    yep :) .

    • 2 years ago
  5. eliassaab Group Title
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    put u= 1 + 2 x

    • 2 years ago
  6. Mimi_x3 Group Title
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    \( u = 1+ 2x => du/dx = 2\) \( 1+2x = u => 2x = u-1 => x = (u-1)/2 \)

    • 2 years ago
  7. Dido525 Group Title
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    I got to that step. Then I got stuck :P .

    • 2 years ago
  8. Mimi_x3 Group Title
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    Maybe:\[\int\limits\frac{x}{\sqrt{1+2x}} dx => \int\limits \frac{(u-1)/2}{\sqrt{u}} *2du \int\limits\frac{u-1}{2} *\frac{1}{\sqrt{u}} 2du => 2\int\limits\frac{u-1}{2} *\frac{1}{\sqrt{u}} \]

    • 2 years ago
  9. eliassaab Group Title
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    Here what wolfram alpha gave

    • 2 years ago
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  10. Mimi_x3 Group Title
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    Would my step work tho?

    • 2 years ago
  11. zepdrix Group Title
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    @Dido525 do you understand what mimi did? those are the correct steps to take.

    • 2 years ago
  12. Dido525 Group Title
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    Yeah I actually do. I just need to process it.

    • 2 years ago
  13. Dido525 Group Title
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    @Mimi_x3 : Wouldn't you write du/2 instead of 2*du ?

    • 2 years ago
  14. Dido525 Group Title
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    Because we said du/2 was dx.

    • 2 years ago
  15. zepdrix Group Title
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    Oh yes :o good call.

    • 2 years ago
  16. Mimi_x3 Group Title
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    Yeah typo lol sorry! that was where i went wrong :(

    • 2 years ago
  17. Dido525 Group Title
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    It's okay :) .

    • 2 years ago
  18. Dido525 Group Title
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    So so far I have: \[\frac{ 1 }{ 4 }\int\limits_{1}^{9} \frac{ u-1 }{ \sqrt{u} } du\]

    • 2 years ago
  19. Mimi_x3 Group Title
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    then break it up!

    • 2 years ago
  20. Dido525 Group Title
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    Ohh... Right :P .

    • 2 years ago
  21. Mimi_x3 Group Title
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    integrate it; then don't forget to sub back in \(u\)

    • 2 years ago
  22. Dido525 Group Title
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    Thanks! :) .

    • 2 years ago
  23. Mimi_x3 Group Title
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    :)

    • 2 years ago
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is replying to Can someone tell me what button the professor is hitting...

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