/sci/ - Science & Math

>>4582870

Don't you study zoology?

Why are you doing hard science?

>>4582873
shush, maybe im not the real EK.
and math isnt science

anyway, please help

>mfw sec^2
>mfw not using inverted cos

>>4582883
>2012
>writing fractions when they can be avoided

>>4582884

>implying anything else than <span class="math">sin[/spoiler], <span class="math">cos[/spoiler] and <span class="math">tan[/spoiler] are needed

>>4582888
>I'm too lazy to remember a couple more functions, so I'll just be a tard and use fractions

By your moronic logic you don't need the tangent, either.

>>4582883
>>4582884
>>4582888
sorry to break up the fucking aspie brigade, but can we get on this now??

>>4582891
Fuck that, why use both sin and cos when it's obvious that <span class="math">\cos x = \sqrt{1 - \sin^2 x}[/spoiler]

My Queen, you should know that there are \sec, \tan and similar instructions in latex. You should use them.

Do you know how to do integration by substitution? Substitute tan(x) as u and then sec^2(x) will become du/dx

>>4582897
She's not our beloved queen, it's nothing but a charlatan besmirching her holy tripcode.

>>4582894
>2012
>using functions instead of their taylor expansion

>>4582903
What? Is this true? Death to the usurper!

make substitution u = tan^2

du = sec^2 dx

etc

make substitution u = tan x

du = sec^2(x) dx

etc

>>4582897
>read it in his voice
<<<
=p

>>4582904

>Taylor
>Not Fourier-Bessel expansion

Fucking casuals

>>4582870
answer isn't correct should be 1/3 tan^3 x + c

>>4582922
oh shit yeh, thats what i mean
(derp, i wolframmed it and just remembered it wrong)

>>4582910
>>4582913
yeh, thats what wolfram said, is there no easier way? or no way to do it without substituation?

>>4582929
No.

It's because the derivative of tan(x) is sec^2(x) and because of chain rule the integral has to be tan(x) cubed. Also you forgot 1/3 infront of it

>>4582935
>Also you forgot 1/3 infront of it
been mentioned
but yeh, i guess that makes sense

kk that'l do
thanks /sci/

>>4582892
>>4582929
its so unpleasent to see such a pretty lady like yourself using such harsh language

>>4582870
when you differentiate tan you get sec^2

hence when you differentiate tan^3 you get 3sec^2tan^2

hence the answer is 1/3sec^2tan^2

dumb bitch

>>4582916
OH LOOK AT ME IM A GAMER GIRL WHOOPDEDOO

fuck off

>>4582904
>2012
>Not using fourier series

<span class="math">\intsec^2[x]tan^2[x][/spoiler]

<span class="math">Let~u=tan[x][/spoiler]
<span class="math">\frac{du}{dx}=sec^2[x][/spoiler]
<span class="math">du=sec^2[x]dx[/spoiler]

<span class="math">\intsec^2[x]tan^2[x][/spoiler]
<span class="math">=\intu^2du[/spoiler]
<span class="math">=\frac{u^3}{3}+C[/spoiler]
<span class="math">=\frac{tan^3[x]}{3}+C[/spoiler]

>>4582883
>>4582884
>>4582888
>>4582891
I've studied math in Germany and I would have never heard of sec and csc if I hadn't read some American literature on the subject. Not a single time did I hear a teacher or professor utter the words secant and cosecant.

>>4583042
I've studied math in Albania, we don't use tan, just write sin/cos.

>>4583045

I've studied math in Borneo, we don't use cos, just write <span class="math">\pm \sqrt{1-\sin^{2}x }[/spoiler]

>>4583057
I've studied math in Zaire, we don't use trigonometry, we just find bugs under bark and eat them, then put sticks up our nose.

>>4583060
>>4583057

>>4583057
i've studied math in Kuala Lumpur. we write everything in terms of <span class="math">e^{ix}[/spoiler]

i write everything in terms of cot. i shit you not

>>4583073

>>4582888
sin cos master race reporting in. Look at this plebeian with his tangent.

Are you fucking kidding me EK?

You don't know Calculus?

>>4583106
how do you write <span class="math">tan^{-1}(x)[/spoiler]

>>4583109
course i know calculus, i just dont know all the wierd identitys and shit

>>4583111
<div class="math">arcsin\frac{x}{\sqrt{x^2 + 1}}</div>

>>4583111
cos/sin

>>4583116
1/10

>>4583114

>>4583118
oh fuck off, like you remember all of them
i know sin^2 + cos^2 = 1
and thats about it

>>4583114
Not only are you an inane shit poster, you're a fucking retard.

Please get off this board.

>>4583121
Do you have any idea how EASY it is to derive trig identities?

>>4583122

>>4583123
...no

>>4583121
>sin^2 + cos^2 = 0.999...

ftfy

>>4583128

>>4583121
>implying I remember identities
>implying I don't just look them up or get a computer to simplify them for me
>implying this has anything to do with "understanding" calculus

>>4583135
> Implying any trig identities were needed to solve this integral

>>4583135
i just use wolfram for the indents as and when i need them, i probably should just remember some of them tho...

>>4583145
trig identities are involved in the "proof" of the tan differentiation as part of the substitution/chain rule. but obviously one looks it up on a table of derivatives

>>4583156
>one
>using 'one' instead of 'you'
posh twat

>>4583156
> Implying you don't need to remember all derivatives of elementary function by heart in order to be a functioning member of society

>>4583128

>>4583163
i just remember the empty set and derive everything else from that.

>>4583160
> Implying using you instead of one doesn't sound retarded

>>4583181
Yeah, good luck with that.

>>4583160
one seems upset

one is mad?

one is jelly?

>>4583190
>posts godel at russell
>should be posting russell at frege

mfw

>>4583184
>hi mate, wheres the nearest train station please?
"oh its easy, you go down the...."

>hi mate, wheres the nearest train station please?

"top hoh, good chum! one heads due east towards..."

faggot!