Trig integral, is it possible to solve this way?

- AmTran_Bus

Trig integral, is it possible to solve this way?

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- AmTran_Bus

So for this I integrated but did not plug in the 4 sec theta. Is that legal?

##### 1 Attachment

- AmTran_Bus

Well, I mean I know it is odd to do, but the basic format of the answer should be correct, right?

- Loser66

show your work, please

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## More answers

- AmTran_Bus

Ok. Give me a sec to type.

- AmTran_Bus

Ignoring the whole 4 sec stuff
|dw:1436283835864:dw|

- AmTran_Bus

I'm still going

- AmTran_Bus

|dw:1436283910258:dw|

- Loser66

How can you go from the original one to it? |dw:1436284026292:dw|

- AmTran_Bus

Oh no. Maybe that is my problem. I forget that sqrt.

- AmTran_Bus

Wait.

- AmTran_Bus

Ignore that.

- Loser66

They assign you to use x =4sec (theta) . Why don't you use it?

- AmTran_Bus

|dw:1436284192993:dw|

- AmTran_Bus

I was hoping I could do the base integration first and kinda cheat.

- AmTran_Bus

|dw:1436284294104:dw|

- AmTran_Bus

I mean @Loser66 I'm also checking and getting this http://www.wolframalpha.com/input/?i=Integrate+%281%29%2F%28x%5E2sqrt%28x%5E2-16%29%29%2C+x+%3D+4+secant+theta so I kinda think im right?

- AmTran_Bus

lol http://www.wolframalpha.com/input/?i=Integrate+%281%29%2F%284+secant+theta%5E2sqrt%284+secant+theta%5E2-16%29%29
So yea im pretty confident.

- AmTran_Bus

internet is awful cutting out

- Loser66

ok , you are right, but I would like to know how can you turn from sin (sec^- (x/4) ) to that result.
To make sure that you can get it by hand, not cheat from wolfram

- AmTran_Bus

From|dw:1436284669272:dw|

- Loser66

yes

- AmTran_Bus

Give me a bit

- AmTran_Bus

|dw:1436284793682:dw|

- Loser66

I don't get |dw:1436284904403:dw|

- Loser66

Hint:
\(x = 4 sec (theta) = \dfrac{4}{cos (theta)}\)
\(\sqrt{x^2+16}=4tan(theta) =\dfrac{4sin(theta)}{cos(theta)}\)
see the link?

- AmTran_Bus

Oh!

- AmTran_Bus

You aint nothing but a hound dog barking all the time you aint never caught a rabbit and you aint no friend of mine

- AmTran_Bus

That is not directed at you loser 66, but at calc 2

- Loser66

hey, what do you mean by "You aint nothing but a hound dog barking all the time you aint never caught a rabbit and you aint no friend of mine"?? are you insulting me?? because I am trying to help you out?? OMG

- AmTran_Bus

Hahahahahahah nooo!! Elvis man!

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