sat_chen
integral subsitution confused
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sat_chen
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|dw:1359530329483:dw|
sat_chen
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|dw:1359530356277:dw|
sat_chen
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|dw:1359530523166:dw|
sat_chen
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what the heck do you do after this
dumbcow
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are those 9's inside radical ?
sat_chen
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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
sat_chen
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and you can just make them easy by making them into (3/7x)^2
sat_chen
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|dw:1359530730683:dw| (3/7x)^2
something like that for the bottom part
sat_chen
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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
dumbcow
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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
sat_chen
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so you wouldd ger 3x +7 /7 ?
sat_chen
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for sec
dumbcow
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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
sat_chen
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oh right right silly me
sat_chen
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|dw:1359532127694:dw|
sat_chen
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is that it?
dumbcow
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yep ... oh dont forget the 3 in denominator
probably need to s.continue to simplify
sat_chen
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but hold on my angles look like this |dw:1359532285169:dw|
dumbcow
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hmm hypotenuse should be .... sqrt(9x^2 +49)
sat_chen
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oh f i see why i forgot to square. its 2am and i had a long day -.-
dumbcow
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haha time to get some sleep ....have wolfram do work for you
sat_chen
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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
sat_chen
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u in us too?
dumbcow
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yeah about 1 am here in AZ (best state)
sat_chen
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and dont use wolfram like to get these things down myself
sat_chen
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u in college?
sat_chen
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taking engineering math not my strongest subject but where the jobs go i go XD
dumbcow
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nope... finished with college , i work as a math tutor so i come on here to practice and help people
sat_chen
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hmm so you planning to be a teacher you would be a good one
dumbcow
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engineering is great field but tough classes
have to take quite a bit of math
sat_chen
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yep still got to diff linear algebra etc good night
bed is calling for me :P
dumbcow
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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
dumbcow
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bye
sat_chen
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you would be a great 1 v1 tutor too yea good night