integral subsitution confused

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- anonymous

integral subsitution confused

- chestercat

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- anonymous

|dw:1359530329483:dw|

- anonymous

|dw:1359530356277:dw|

- anonymous

|dw:1359530523166:dw|

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## More answers

- anonymous

what the heck do you do after this

- dumbcow

are those 9's inside radical ?

- anonymous

you dont have to write the whole steps like last time can you just give me advice and yes they are

- anonymous

and you can just make them easy by making them into (3/7x)^2

- anonymous

|dw:1359530730683:dw| (3/7x)^2
something like that for the bottom part

- anonymous

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

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

- anonymous

so you wouldd ger 3x +7 /7 ?

- anonymous

for sec

- dumbcow

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

- anonymous

oh right right silly me

- anonymous

|dw:1359532127694:dw|

- anonymous

is that it?

- dumbcow

yep ... oh dont forget the 3 in denominator
probably need to s.continue to simplify

- anonymous

but hold on my angles look like this |dw:1359532285169:dw|

- dumbcow

hmm hypotenuse should be .... sqrt(9x^2 +49)

- anonymous

oh f i see why i forgot to square. its 2am and i had a long day -.-

- dumbcow

haha time to get some sleep ....have wolfram do work for you

- anonymous

yep just finished it got the right answer thanks a lot
time for bed i cant even think straight right now

- anonymous

u in us too?

- dumbcow

yeah about 1 am here in AZ (best state)

- anonymous

and dont use wolfram like to get these things down myself

- anonymous

u in college?

- anonymous

taking engineering math not my strongest subject but where the jobs go i go XD

- dumbcow

nope... finished with college , i work as a math tutor so i come on here to practice and help people

- anonymous

hmm so you planning to be a teacher you would be a good one

- dumbcow

engineering is great field but tough classes
have to take quite a bit of math

- anonymous

yep still got to diff linear algebra etc good night
bed is calling for me :P

- dumbcow

i qualified to be a teacher but am undecided .... i prefer tutoring 1 on 1 ..... classroom teaching isn't my style

- dumbcow

bye

- anonymous

you would be a great 1 v1 tutor too yea good night

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