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anonymous

  • 5 years ago

how do you integrate e^(-sqrt(x))/(4 sqrt(x)) dx

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  1. amistre64
    • 5 years ago
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    very carefully :)

  2. amistre64
    • 5 years ago
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    e^(-sqrt(x)) ---------- dx eh.... can we make a u sub and say... 4sqrt(x) u = sqrt(x) ?

  3. anonymous
    • 5 years ago
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    yes i used u = -sqrt(x)

  4. amistre64
    • 5 years ago
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    du = 1/2sqrt(x) dx dx = du 2sqrt(x)

  5. anonymous
    • 5 years ago
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    okay

  6. amistre64
    • 5 years ago
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    2sqrt(x) e^-u du --------------- ....murmur 4u

  7. anonymous
    • 5 years ago
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    now factor out 1/2?

  8. amistre64
    • 5 years ago
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    still have that sqrt(x) hanging in there causing troubles

  9. amistre64
    • 5 years ago
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    or can we simply equate that to a -u?

  10. amistre64
    • 5 years ago
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    e^-u du ----------- then right? 2

  11. anonymous
    • 5 years ago
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    wait what?

  12. amistre64
    • 5 years ago
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    2sqrt(x) = 2u right? since u = sqrt(x)

  13. anonymous
    • 5 years ago
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    right

  14. amistre64
    • 5 years ago
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    2u 1 -- = -- if its doable 4u 2

  15. anonymous
    • 5 years ago
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    okay

  16. amistre64
    • 5 years ago
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    then all we are missing is a -1 to integrate with.... so I propose this set up: -(1/2) [S] -e^-u du

  17. amistre64
    • 5 years ago
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    which integrates to: -e^-u ------ +C lets check that thought and see if it works 2

  18. amistre64
    • 5 years ago
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    -e^-sqrt(x) --------- derives to what? 2

  19. amistre64
    • 5 years ago
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    - 1 -e^-sqrt(x) ------- * -------------- looks good to me 2sqrt(x) 4

  20. anonymous
    • 5 years ago
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    thanks

  21. amistre64
    • 5 years ago
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    i got lucky lol ;) youre welcome

  22. anonymous
    • 5 years ago
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    I just did this problem yesterday for calc, I was going to help but Amitre is far better at explaining then I am.

  23. anonymous
    • 5 years ago
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    :) hey bobby

  24. amistre64
    • 5 years ago
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    :) i just winged it; threw what i had at it to see what stuck ;)

  25. anonymous
    • 5 years ago
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    Woah who is this??

  26. anonymous
    • 5 years ago
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    lols chelsea

  27. anonymous
    • 5 years ago
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    fādāi means day dream in chinese

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