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sat_chen

  • 3 years ago

integral subsitution confused

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  1. sat_chen
    • 3 years ago
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    |dw:1359530329483:dw|

  2. sat_chen
    • 3 years ago
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    |dw:1359530356277:dw|

  3. sat_chen
    • 3 years ago
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    |dw:1359530523166:dw|

  4. sat_chen
    • 3 years ago
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    what the heck do you do after this

  5. dumbcow
    • 3 years ago
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    are those 9's inside radical ?

  6. sat_chen
    • 3 years ago
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    you dont have to write the whole steps like last time can you just give me advice and yes they are

  7. sat_chen
    • 3 years ago
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    and you can just make them easy by making them into (3/7x)^2

  8. sat_chen
    • 3 years ago
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    |dw:1359530730683:dw| (3/7x)^2 something like that for the bottom part

  9. sat_chen
    • 3 years ago
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    when you do it can you confirm that you get the same solution as in my solving part and help me from there on. thanks

  10. dumbcow
    • 3 years ago
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    ok i get same solution (i simplified the constants) \[\frac{343}{81}(\frac{\sec^{3} \theta}{3} - \sec \theta) +C\] now you have to substitute back in "x" \[\tan \theta = \frac{3x}{7}\] and \[\sec^{2} \theta = \tan^{2} +1 = \frac{9x^{2}}{49} +1 = \frac{9x^{2} +49}{49}\] take sqrt to get "sec" , then cube that to get sec^3

  11. sat_chen
    • 3 years ago
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    so you wouldd ger 3x +7 /7 ?

  12. sat_chen
    • 3 years ago
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    for sec

  13. dumbcow
    • 3 years ago
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    no it would be ... sqrt(9x^2 +49) /7 because of addition inside you can't just take sqrt of each term

  14. sat_chen
    • 3 years ago
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    oh right right silly me

  15. sat_chen
    • 3 years ago
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    |dw:1359532127694:dw|

  16. sat_chen
    • 3 years ago
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    is that it?

  17. dumbcow
    • 3 years ago
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    yep ... oh dont forget the 3 in denominator probably need to s.continue to simplify

  18. sat_chen
    • 3 years ago
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    but hold on my angles look like this |dw:1359532285169:dw|

  19. dumbcow
    • 3 years ago
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    hmm hypotenuse should be .... sqrt(9x^2 +49)

  20. sat_chen
    • 3 years ago
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    oh f i see why i forgot to square. its 2am and i had a long day -.-

  21. dumbcow
    • 3 years ago
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    haha time to get some sleep ....have wolfram do work for you

  22. sat_chen
    • 3 years ago
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    yep just finished it got the right answer thanks a lot time for bed i cant even think straight right now

  23. sat_chen
    • 3 years ago
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    u in us too?

  24. dumbcow
    • 3 years ago
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    yeah about 1 am here in AZ (best state)

  25. sat_chen
    • 3 years ago
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    and dont use wolfram like to get these things down myself

  26. sat_chen
    • 3 years ago
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    u in college?

  27. sat_chen
    • 3 years ago
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    taking engineering math not my strongest subject but where the jobs go i go XD

  28. dumbcow
    • 3 years ago
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    nope... finished with college , i work as a math tutor so i come on here to practice and help people

  29. sat_chen
    • 3 years ago
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    hmm so you planning to be a teacher you would be a good one

  30. dumbcow
    • 3 years ago
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    engineering is great field but tough classes have to take quite a bit of math

  31. sat_chen
    • 3 years ago
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    yep still got to diff linear algebra etc good night bed is calling for me :P

  32. dumbcow
    • 3 years ago
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    i qualified to be a teacher but am undecided .... i prefer tutoring 1 on 1 ..... classroom teaching isn't my style

  33. dumbcow
    • 3 years ago
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    bye

  34. sat_chen
    • 3 years ago
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    you would be a great 1 v1 tutor too yea good night

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