/sci/ - Science & Math

Why is the integral from -pi to +pi of function f(x)=sin(x) equal to 0?

integrate integrate integrate x^2 + ex

>>6286667
Because sin is an odd function. The area from -pi to 0 cancels the area from 0 to pi.

>>6286670
Triple integrals are subject of cutting edge research and not fully understood. Maybe in 100 years we will have a complete theory of triple integration.

>>6286663
im a complete noob at calculus, any books?
ways of learning it?
i means eriously shit tier atm.

Does being an expert on calculus give you an income?

What's the integral from zero to infinity of f(x)=sin(x)/x?

>>6286682
Calculus is a very complex field of math and demands a lot of prerequisite knowledge in higher math. Are you proficient in algebra and precalculus?

>>6286684
I'm making 300k per month.

>>6286700
pi/2

How would you go about solving this?

>>6286713
x->1/x is the only solution.
there was a thread where I posted a solution some weeks ago.

calcalus is the shit tier of math

>>6286713
I'd give it to my students as a homework assignment ;)

The unique solution is 1/x.
Set g(x) = x * f(x) and then show g(x) = 1.

>>6286737
Calculus is god tier. There is no topic of math more beautiful and profound than calculus. All the other math wouldn't exist without calculus.

lim((x+5)/(x^2-1))^(16/x-3)

>>6286743
You don't count set theory or logic as math? What about algebra?

>>6286749
x approaches 3

>>6286679
Wait, you don't know how to do a triple integral?

>>6286749
>>6286760
The limit is 1.

>>6286752
Logic is philosophy. Set theory is only a tool, like functions or variables are not fields on their own. Algebra comes before calculus.

>>6286776
Nobody knows how to do it. The best PhDs are researching solutions to very simple triple integrals. A general theory does not exist yet.

>>6286783
>simple triple integrals
Phony detected.

>>6286783
Did you just finish Calculus I or something?

>>6286670
I'm assuming you want a triple integration of x^2+e^x, with respect to x. The solution there would be (x^5)/60 + e^x

>>6286788
>>6286789
lurk more

>>6286791
I'm just saying that if he were a real PhD student, he would know that there's no such thing as a simple triple integral, and that solving a triple integral would land you instant tenure at any institute, so PhD students needn't try.

What can I do with a PhD in Calculus?

Why is France so good at maths?

>>6286663
Do you get any job you want, with $40k starting?

>>6286783
can you pls explain procedure, the limit i mean, it's the only one i couldnt solve

>expert in calculus
Those don't exist.
Do you perhaps mean real analysis?
Because sophomore undergrads could be considered "calculus experts"
I grade local calculus competitions for high schools, am I an expert?

What kind of jobs do you get with a math degree

>>6286808
No such thing. Undergrads are expected to go beyond calculus

>>6286789
>(x^5)/60 + e^x
djhkfgfengjsfmhgjfsg

omfg how did you do that. You my friend are a genius

>>6286870
e^x doesn't change under integration, so it can be ignored

Integrate x^2 once, get x^3/3
Then again, get x^4/(3x4)
Then again, get x^5(3x4x5)

>>6286873
>implying three single integrals are the same as a triple integral

>>6286870
>someone took calculus beyond calc 1, must be a math genius.
Triple integration isn't hard without constraints

How hard is it to get a PhD in triple integrals?

>>6286881
Impossible, considering you'd be laughed out of the interview.
Might as well try getting a research position to test out your baking soda and vinegar volcano

>>6286877
>what is partial differentiation?

Could you explain differentiation and integration of complex valued functions

>>6286888
He's a calc 1 troll

Sorry for the late reply. I was busy finding the derivative of a quadratic equation.

>>6286808
Any job you want, 300k starting.

>>6286815
Because of multiculturalism.

>>6286850
Plug it in. The function has no singularity at x=3.

>>6286862
Did you write a PhD thesis on calculus?

How can you find math interesting? It's just repeating the same process over and over till you know it by heart, no out of the box thinking

>>6286863
There are very few calculus PhDs. When I received my doctorate, I got offers from several investment banks.

>>6286881
Very hard. If your IQ is lower than 200, you'll stand no chance.

>>6286897
I wrote my PhD thesis on Bayesian Networks and probability inferences.
Something that requires a lot more math than just calculus

>>6286882
>>6286902
Damn, and here I thought I could get into the cutting edge of mathematical research.

>>6286902
>very few calculus PhDs
That's because they don't exist
1/10 for making me reply

>>6286902
>someone has extraordinary talent
>could probably aid in some major scientific project, actualy making the world a better place
>investment fuckers come steal them away because of 'muh money'

>>6286888
I could if you tell me the domain.

>>6286663
I got a PhD in 'Math' so I'm probably a better expert since my PhD is more broad.

>>6286910

Just wondering how complex valued functions compare to real valued functions, it's a general question

>>6286913
I got my PhD in derivatives so I was more concentrated on this topic.

>>6286923
haha pleb

double integrals phd master race reporting in

>>6286925
Let's just think that we're even: u wrote thesis on double integrals whilst mine was on derivatives.

>>6286920
No difference. The definitions stay the same.

So if I get a PhD in calculus (obviously specializing in one of the various parts, be it derivatives, integrals, etc.), what kind of job prospects am I going to see open up? Like what kind of jobs are available for such a degree?

ur gay

i got my phd in the unit circle

>>6286937
my math thesis covered all those topics.

>>6287190
wow. u must've been offered top positions from investment banks

>>6287032
I kinda want to hear his question answered.

>>6287032
I do not have a PhD in Mathematics but I would guess you would be limited to one of the following if you didn't want to be underemployed:

1) University Professor
2) PI or senior research fellow doing mathematical modelling at a lab/research facility.
3) Research Fellow/Analyst at a engineering/technology company whose job would be mathematical modelling (possible Chief Science/Technology Officer after years of experience)
4) Financial Analyst of some kind at an investment or similar company.

I want to study computer science mainly reverse engineering, first the mathematical part of it "Theoretical computer science", what I have to learn from start(begining) to finish.This has bean my dream for very long time.

Books, torrent I dont care what i have to learn.Now I have time for it. Thanks

>>6286737

Failing calc 1 are we?

How do I get gf?

>>6286925
>>6286937
>not doing your thesis on the inter-universal Teichmüller theory

>>6288390
Absolutely nothing for

>>6288394
Optimisation mostly

>>6286663
1/9 = 0.1111...
9(1/9) = 9(0.1111...)
1 = 0.9999...

Prove me wrong.

>>6289079
>implying numbers exist

>>6286730
>>6286741
what about the trivial solution? f(x)=0 for all x

>>6286663
define what it means for a function to be integrable

>>6286663
Integrate:
f(x)=1 for x rational, and f(x)=0 otherwise

>>6287032
>>6287318
there's also the applied rout which opens up lots of opportunities in the computer science industry

>>6286663
im gonna take calc1 next semester (starts in a couple of weeks) what should i do to prepare myself? how to pass the class with an A

>>6289992

If you took some calc in highschool, it should be an easy transition

The thing to note that university math professors are not high school math teachers, you need to get used to the formalism. There will be lots of definition/theorems, but you don't need to prove in calc 1 (except maybe epsilon delta proofs).