Primitives

i just don't know how to primitivize very well

what should i do when i need to primitivize a fraction

could you please explain me clearly how this function was primitivized?
http://img369.imageshack.us/img369/1093/zzzls4.jpg

It's a black art.

opposite of differentiation

let t = tan(x), dt = sec^2(x)dx, 1+t^2 = sec^2(x)

the integral becomes: I[sin(x)dx/cos^2(x)]

let u = cos(x)... etc

the integral then becomes u^-1 => I = sec(x)

from above you have

t = tan(x)
=> cos(x) = (1+t^2)^-(1/2)
=> sec(x) = (1+t^2)^(1/2), as required

>>4 here

how embarassing, I just realized there's a much simpler way to solve this integral without using trig substitutions. simply let u = 1+t^2, substitute in du and u, and the result follows. :p

wtf are primitives and primitivize?

>>6
In calculus, an antiderivative, primitive or indefinite integral of a function f is a function F whose derivative is equal to f, i.e., F′ = f. The process of solving for antiderivatives is antidifferentiation (or indefinite integration). They are also called integrals, but this usage is not universally accepted. Antiderivatives are related to definite integrals through the fundamental theorem of calculus, and provide a convenient means for calculating the integrals of many functions.

>>7
What kind of third world country uses the term primitives anyway.

>>8

Ba-dum tch

um...i'm only allowed to primitivize it using these (http://www.math.ist.utl.pt/~amoura/AMII/Primitivas.pdf)

>>10
Your people spelled sin, sinh, cosh, etc. incorrectly.

Also, you're a dumbass. It's the fucking antiderivative; if you aren't mentally capable of handling this easily, you shouldn't be in any career that requires it.

>>11
Actually it isn't spelled incorrectly, it's in portuguese. You could have scrolled down to see that the text is in English.
Secondly, thanks for the diss, it really helps a lot.

I was able to figure it out with the formula P(u'u^a)=(u^(a+1))/(a+1)

>>12
Admittedly, I haven't much right to demand to have my intelligence respected while trolling.

I'm betting you're not the OP, though. Thanks for the acknowledgement of my dis; it doubles the helps.

oops! this isnt furry