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

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?

I think 'Fuck yea, integration is AWESOME!'

I generally think antiderivative.

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.

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

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

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

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

Maths doesnt real anyway

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

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

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

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?

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

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

What a shit american university

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

area under the curve or between a curve and another curve

to get rid of variable dependence

to change units

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?

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.

ah yes

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

If you're baiting me user
don't make me [spoiler]integrate] you.

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

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

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 ?

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

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

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

I'm e^x, come at me bro

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?

>fucking foreigners

it's called the definite integral

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

>doesn't realize I know this

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

Paid big bux for those