@

[sinful dawn]

need help question: Approximate the integral from 4 to 9 of the quantity 1 minus the square root of x all over the square root of x using a left hand sum with 5 rectangles. round your answer to the nearest thousandth

[limpid timber]

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[sinful dawn]

@hot crest

[hot crest]

Ope

Ill need to try this one unfortunately

Gimme a couple mims

[sinful dawn]

ok

[hot crest]

Ight

Ih

Uh

Do you have answer

[sinful dawn]

noo.. thats why i am asking u

what did u get

[hot crest]

Heh

-1.5

[sinful dawn]

-_-

[sinful dawn]

so what would we do w the 5

[sinful dawn]

???

[hot crest]

Ugh

I made a mistake writing

Lemme rewrite it

[sinful dawn]

@north ruin

is this right

[sinful dawn]

yeah i got that by just using desmos but

it said round

[hot crest]

It’s pretty much exactly -3

[sinful dawn]

its saying -2.914

[north ruin]

its -3

[sinful dawn]

its said i should round nearest thousandth

[north ruin]

then it's -3.000

[sinful dawn]

...

so what is the 5 used for

[north ruin]

Ohhhhh

this is not an integral question

this is a reimann sum

[sinful dawn]

yep

yep

[north ruin]

okay

[finite fog]

Wait -3 isn’t the answer?

[hot crest]

It is

[north ruin]

it is to the integral

but she's being asked to approximate it using reimann sums

[finite fog]

Yeah then what’s the problem

[north ruin]

.

left hand sum

ok

[sinful dawn]

how would i do this

[finite fog]

Ooh mb mb

[north ruin]

i'm not exactl;y the most qualified person for this

but i think i can explain it to you

[sinful dawn]

okay should i ping a helper

[sinful dawn]

do you how 2 get the answer

know*

<@&1309522179368419349>

[north ruin]

right

so

[finite fog]

@hot crest yo

[north ruin]

you are estimating the area under the curve using 5 rectangles

[hot crest]

Whats happening?

[north ruin]

the top left corner will touch the curve because its a left hand sum

[finite fog]

@hot crest

[north ruin]

(in this case i drew the curve incorrectly but i'm just explaining the concept)

[hot crest]

Oh solving integrals by definition

[north ruin]

notice that if we use 5 rectangles from 4-9, each rectangle base will be of length 1

so the area of the first rectangle will be f(4) * 1

where f(x) is 1-sqrt(x) all over sqrt(x)

@sinful dawn

[sinful dawn]

like this

[north ruin]

yeah i think thats right

looks right to me

[sinful dawn]

alright thanks

[finite fog]

Ooh ,

I think jee adv had a similar question

[hot crest]

Yeah i just solved it rhe other day

Wanna try it?

[finite fog]

I couldn’t if I remember correctly😭

Lacking concepts

[hot crest]

Bro 40 days left GET TO WORK

[finite fog]

There’s no fking way that shits reaching anywhere near mains

[sinful dawn]

help

[finite fog]

Using midpoints? What’s that supposed to mean

[sinful dawn]

riemann sums

[hot crest]

Bruh just ping max

Duh

[finite fog]

@hot crest u the man here don’t chicken out now

@north ruin hey dude

[hot crest]

Wdym I barely know how to do that

[finite fog]

Fr

[sinful dawn]

u guys do know how 2 find net area

and

total

area

right

[finite fog]

Yeah

The area by integration will be 96.75 ( maybe )

[sinful dawn]

😬

[finite fog]

??

[north ruin]

i think

this is just another reimann sum question

but its like

instead of being left/right hand

its just the middle of the top of the rectangle sits on the rectangle

[sinful dawn]

what i got 😭

[north ruin]

isn't it meant to say

how many rectangesl we want

[sinful dawn]

...

didnt say

yepp idkk

[north ruin]

thats a tough one

using an integral

[sinful dawn]

like this

[north ruin]

oh i frogt u have desmos

idk how you're allowed desmos

but you wold be integrating from -3 to 3

in this case

[sinful dawn]

but the area below?

would be included?

[north ruin]

yea but it's asking you for the area below

[gleaming iron]

<@&1309522179368419349> this is a mess, i recommend that you all don’t give answers within a post and/or encourage the use of calculators unless it is absolutely necessary

[sinful dawn]

wait you encourage the use of calculators or no

[gleaming iron]

i do not, these problems are solvable by hand.

[sinful dawn]

hmm please explain @gleaming iron

[gleaming iron]

use polynomial division on the integrand

[sinful dawn]

that would take ages

[gleaming iron]

it wouldn’t.

hint: it is in the form -2+(ax+b)/(x^2+1)

this is due to the end behavior of (2-2x^2)/(x^2+1)

so you would have $\int_{-3}^3 -2+\frac{ax+b}{x^2+1}dx$ where a and b are to be determined

[storm panther]

dark matter

[sinful dawn]

:/

[gleaming iron]

do you...know how to integrate?

[sinful dawn]

no!

[gleaming iron]

then why are you asking these question?

[sinful dawn]

???

[gleaming iron]

if you don’t know how to integrate, why are you asking questions in which you are required to integrate?

[sinful dawn]

umm just asking..?

just to confirm..

[gleaming iron]

the doubt is caused by you not being able to integrate.

you should learn that first before asking about it and pretentiously getting answers that you may or may not understand the process behind.

[sinful dawn]

okay whats the best way i can learn it fast..?

and best way 2 be good at cal

[gleaming iron]

using a textbook, resources like khan academy, etc.

you could ask someone for recommendations on a textbook, i self-studied with khan academy.

[sinful dawn]

bc i am good at trig and algebra

idk i find precal harder than

cal

[gleaming iron]

yeah, that’s a great prerequisite

[sinful dawn]

how long would you it would take to master cal 1

think

@gleaming iron

[gleaming iron]

idk tbh

depends on your skill level, dedication and willingness to learn

it took me maybe 4-5 months

[sinful dawn]

okay

[sinful dawn]

are you in highschool?

[gleaming iron]

yes

[lilac heath]

@sinful dawn

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[sinful dawn]

+close

[lilac heath]

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