What are your first thoughts when you're integrating something?

why the fuck is integration one of the most common math concepts discussed on here? is it really this hard to understand integrals?

>>8065160
I think 'Fuck yea, integration is AWESOME!'

I generally think antiderivative.

>>8065167
I would assume that's because the majority of people browsing are between the ages of 18-21, and calculus is what math people of that age group are mostly doing.

>>8065190
In addition to the fact that integrals are crunk, dude.

>>8065167
Calculus II ( American ) is the most overrated class in math departments nationwide. It's the equivalent to chemistry's organic I.

>>8065227
I'm not certain what Calculus II is. I'm in an American Unviersity and we don't have anything called Calculus II.

>>8065160
fuck Idk, probably convergence then can I use contour integration to solve this easily. Then usually
>where the fuck is my book of integrals

>>8065160
Maths doesnt real anyway

I generally think of the area under the function. Why is this relevant?

>>8065160
I just try to identify which technique is going to be needed and then I do it mayne.

>>8065274
>be patron of the art of algebra and numerics
>see this
>rage at my friends about the devil's advocate that is geometry

>>8065160
does this look like I can find an easy antiderivative?
does this describe a geometric shape?
what are the candidate substitutions that would work best?

>>8065361
Riemanne (sp?) sums man. Area of tiny little rectangles.

>>8065274
op here. i'm just curious how people first approach an integration problem, as that's something I seem to have issues with.

>>8065264
What a shit american university

>>8065382
>having a course dedicated to calculus
>thinks it's a mark of superiority
kek

>>8065160
area under the curve or between a curve and another curve

to get rid of variable dependence

to change units

>>8065160
I think, why is OP a faggot?

Today I helped a MILF do some algebra and I felt dead inside

all the wasted years

I stare at a comet drawing the shape of the function as it flies, then I'm suddlendly accelerating towards the bottom horizon of glowing rectangles that shrink more and more until I realize my soul's in front of infinite array of infinitely small strip... wait, what was the fucking formula for substitution again?

>>8065382
No we just have different courses for the different parts of calculus, which is 251-256.
We have numbered courses like a normal fucking uni.

>>8065477
ah yes

the university where courses do not have names but are purely numbers

>>8065481
If you're baiting me anon
don't make me [spoiler]integrate] you.

>>8065483
please excuse the terrible typo.
I'm [retarded]spoiler[/retarded]

>>8065160
to make sure my integrand doesn't look like a malformed S

>>8065160
i look for ways to say i love you
but i aint into makin love songs

>how has my life come to this ?
>how can I get this over with as quick as possible ?

>>8065274
Area as in the Lebesgue measure, right?
Or a different measure?

>>8065369
Riemann.
If you aren't at least doing Riemann-Stieltjes integrals, you aren't doing much.

>>8065160
I think "calculus is pretty gay" then I go ask wolfram alpha for the answer

>>8065483
I'm e^x, come at me bro

>>8065160
if real function:
can I use some direct formula?
would substitution help?
should I use per partes?

if complex function:
is the curve closed or not?
is the function holomorphic or not?
can i use residue theorem?
do i have to parametrise it?

>>8065160
>fucking foreigners

>>8065534
it's called the definite integral

>>8065160
I think "how tf do I integrate artanh again? this is all just memorisation why am I doing this?"

>>8066003
>doesn't realize I know this

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I think of all the monkeys I'm going to eat when I get home

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