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integral subsitution confused

Mathematics
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Other answers:

what the heck do you do after this
are those 9's inside radical ?
you dont have to write the whole steps like last time can you just give me advice and yes they are
and you can just make them easy by making them into (3/7x)^2
|dw:1359530730683:dw| (3/7x)^2 something like that for the bottom part
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
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
so you wouldd ger 3x +7 /7 ?
for sec
no it would be ... sqrt(9x^2 +49) /7 because of addition inside you can't just take sqrt of each term
oh right right silly me
|dw:1359532127694:dw|
is that it?
yep ... oh dont forget the 3 in denominator probably need to s.continue to simplify
but hold on my angles look like this |dw:1359532285169:dw|
hmm hypotenuse should be .... sqrt(9x^2 +49)
oh f i see why i forgot to square. its 2am and i had a long day -.-
haha time to get some sleep ....have wolfram do work for you
yep just finished it got the right answer thanks a lot time for bed i cant even think straight right now
u in us too?
yeah about 1 am here in AZ (best state)
and dont use wolfram like to get these things down myself
u in college?
taking engineering math not my strongest subject but where the jobs go i go XD
nope... finished with college , i work as a math tutor so i come on here to practice and help people
hmm so you planning to be a teacher you would be a good one
engineering is great field but tough classes have to take quite a bit of math
yep still got to diff linear algebra etc good night bed is calling for me :P
i qualified to be a teacher but am undecided .... i prefer tutoring 1 on 1 ..... classroom teaching isn't my style
bye
you would be a great 1 v1 tutor too yea good night

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