help

[tardy rapids]

How to find the value of this function?

[fleet wind]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[fallen cairn]

notice that $\int_{a}^{b} \floor{x} dx = \sum_{n=a}^{b-1} n$ (for b>a)
then apply similar logic for the following, reversing limits to get:
$\int_{a}^{b} \floor{x} dx - \int_{a}^{b} \floor{-x} dx$

[safe warren]

xX_69killa_agex420_Xx

[tardy rapids]

Yeah I'm stuck on this step

[fallen cairn]

btw floor(-x)=-ceil(x)

[fallen cairn]

so substitution isn't even necessary

because $\int_{a}^{b} \ceil{x} dx = \sum_{n=a}^{b} n$

[safe warren]

xX_69killa_agex420_Xx

[fallen cairn]

which is b²-a²

for b>a

[flat schooner]

Lmao

It’s so funny u tried to make fun of me

Yet ur solution is wrong

Got anything to say @fallen cairn

Oh actually u just gave me a different problem u absolute nimbos ( what u did was still wrong u dumb grandpa)

[swift sinew]

Hope this helps

[flat schooner]

Almost correct

Only one mistake

Look at ur last simplification

[fallen cairn]

👎 it's right

[flat schooner]

u dumbass

take an example and compute it

u made atleast 1 obv. mistake in ur simplification

[fallen cairn]

just b²-a²!?!?!

that's what I said

you absolute nimwit

bro's deranged

[fallen cairn]

also no c, it's a definite integral

[fallen cairn]

also I didn't:(

[flat schooner]

lmao

see

noob

[flat schooner]

ily too

[fallen cairn]

[tardy rapids]

Why are you guys having fun?

Indians?

[fallen cairn]

no

[tardy rapids]

I'm from India

May i know where you are from guys?

[fallen cairn]

bad Kingdom

dappy is from Germany

[tardy rapids]

Answer is this

[fallen cairn]

that answer is wrong

[tardy rapids]

How?

[fallen cairn]

plug in a=1 b=2

that's easy to see that the answer is 3

but 2(2-1)=2

[tardy rapids]

And what I put on x

[fallen cairn]

put your integrand into desmos and have a look for yourself whether that makes sense

[tardy rapids]

I got same answer

2=2

[fallen cairn]

doesn't look like 2 from here

[flat schooner]

DESMOS mid

Geogebra top

[fallen cairn]

I have both, geogebra just doesn't like graphing some stuff that desmos is fine with on my phone

[tardy rapids]

@fallen cairn this is wrong

The equation is floor x + floor (-x)

[fallen cairn]

look at the limits

you can flip limits if you negate the sign

[flat schooner]

Then just use my answer

[tardy rapids]

Where is your answer?

@flat schooner

[flat schooner]

Notice that if that’s actually the equation it can be simplified to -1

Now just take the integral

From a to b

[fallen cairn]

cuz floor(-x)=-ceil(x)

what about the hole at 0 tho @flat schooner

[flat schooner]

[glass dune]

@fallen cairn your mistake is in the sum

It's from floor a to floor b

Not from a to b

[flat schooner]

yo pyro whats up

this our chat now, nice

[glass dune]

This is not a chat

[flat schooner]

it is now

[glass dune]

Begone

[flat schooner]

communism rocks

[fallen cairn]

assuming a,b are integers

probably a bad idea tbh

[glass dune]

I looked at the question again to make sure that wasnt given

It wasn't

So

[fallen cairn]

I can't read hindi

can you?

[glass dune]

No

I just looked at the very first message?

[flat schooner]

That’s why my answer is correct u noobs

I love Hindi

[fallen cairn]

that's why my answer is correct you idiot!!!

[flat schooner]

mf copied me

[glass dune]

It's actually not even thid

[fallen cairn]

nerds

[flat schooner]

See the edited

[glass dune]

If a and b are not integers its more compliacetd

[flat schooner]

That’s u sucking balls

[fallen cairn]

actually no, it was never edited according to #message-logs

[flat schooner]

It was according to #┆newspaper-team-archived

[fallen cairn]

agex 1 pyro 0 today

[glass dune]

Why is that

[fallen cairn]

man why does the message logs have message logs

because you said it wasn't assumed integer

it is

!!!!

[glass dune]

Where is it assumed integers

[fallen cairn]

somewhere in the hindi

look at their incorrect answer

[glass dune]

How do you know

[fallen cairn]

it's funny that the mask scheme is wrong

[fallen cairn]

I made it up

[flat schooner]

[flat schooner]

[glass dune]

[topaz vector]

This has no relation to this problem but can someone please look at my problem😭😭

[flat schooner]

No

[glass dune]

The most general formula is $$\int_a^b \floor{x} dx = (\ceil{a}-a)\floor{a} + \sum_{n=\ceil{a}}^{\floor{b}-1}n + (b-\floor{b})\floor{b}$$

[safe warren]

Pyrodynamic

[glass dune]

And $$\int_a^b \ceil{x} dx = (\ceil{a}-a)\ceil{a} + \sum_{n=\ceil{a}+1}^{\floor{b}}n + (b-\floor{b})\ceil{b}$$

[safe warren]

Pyrodynamic

[glass dune]

@fallen cairn

Get rekt

Pyro 1 agex 0

[fallen cairn]

yeah but you can't read

agex 2 Pyro 0

[glass dune]

Yeah but you made it up

Pyro 1 agex -1

You also can't read because I bet you didn't even read my formulas and you said yeah

Pyro 2 agex -2

[fallen cairn]

yeah

Pyro -16 agex 17

[glass dune]

yeah

Pyro 20 agex -17

[fallen cairn]

no

Pyro -11111111111111111111111111111111111111 agex Ω

[glass dune]

Booooo

[flat schooner]

Ily both

But I’m better

Noobs

[tardy rapids]

Sooo

What did you get?

My answer is b^2-a^2

[fallen cairn]

same

[flat schooner]

Seems to be correct

[tardy rapids]

Is this correct?