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Mathematics 16 Online
OpenStudy (zzr0ck3r):

Photo of question inside

OpenStudy (zzr0ck3r):

OpenStudy (zzr0ck3r):

What an I not seeing....

OpenStudy (isaiah.feynman):

The error is from the first line. Let u=cos(x) not 1/cos(x)..

OpenStudy (zzr0ck3r):

Bwhy though?

OpenStudy (isaiah.feynman):

That's the proper substitution.

OpenStudy (zzr0ck3r):

What rule says I cant choose sec ?

OpenStudy (usukidoll):

hmm antiderivative of that is ln cosx + c

OpenStudy (isaiah.feynman):

Oh they used by parts. I have never used integration by parts to solve that integral only u substitution.

OpenStudy (usukidoll):

oops forgot -ln cos x + C

OpenStudy (zzr0ck3r):

@jim_thompson5910

OpenStudy (usukidoll):

integration by parts is really unnecessary for this problem

OpenStudy (isaiah.feynman):

@UsukiDoll I AGREE!

OpenStudy (zzr0ck3r):

Yes I can do it another way but I want to know where the.mistake is

OpenStudy (usukidoll):

here's the problem the integral of tanx has it's own antiderivative identity...

OpenStudy (usukidoll):

so doing this by parts or even converting tanx into sinx /cosx is really whyy just why

OpenStudy (usukidoll):

what's that supposed to mean?

OpenStudy (zzr0ck3r):

Im.playing

OpenStudy (usukidoll):

there's an anti derivative integral version of tanx .. works fine by itself... why this person even convert .. SO DUMB!

OpenStudy (usukidoll):

if someone really gives me that as an answer.. I will fail them!

OpenStudy (zzr0ck3r):

Everyone keeps saying it's not the way to do or it.....but why is this wrong.

OpenStudy (zzr0ck3r):

The problem asks to find the problem

OpenStudy (isaiah.feynman):

When I learned integration by parts my prof said let U=LIATE (Logarithm, Inverse trig function, Algebraic, Trig function, Exponential function). So @zzr0ck3r take u to be tanx du = sec^2x, dv=dx, v=x Try that!

OpenStudy (zzr0ck3r):

Again, the question asks to find the problem with this proof.......

OpenStudy (isaiah.feynman):

What proof? I thought it said identify the error. :P

OpenStudy (usukidoll):

yeahhh

OpenStudy (zzr0ck3r):

The question shows what I showed, and it says find the error and fix it

OpenStudy (usukidoll):

oh I'll fix it alright ... |dw:1392943626723:dw|

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