#help with a small little HW assignment for my undergrad calc 2 class!

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wanton dragon
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(see attached for assignment)
I submitted work for it already and its out of 1 point and I got half a point but my prof didnt write what I did wrong or give me any hints so I can fix and resubmit my work

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noble sorrelBOT
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exotic fable
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Ohh okay

wanton dragon
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yea

upbeat mural
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Ah definite integral

wanton dragon
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i submitted this

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" a definite integral is the area under a curve between 2 X values"

upbeat mural
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Does your professor want a rigorous answer?

wanton dragon
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and I also attached a drawing to go along with it

upbeat mural
exotic fable
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If it's rigor I'd do

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The limit version of an integral

upbeat mural
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Wait no it’s Calc II right?

exotic fable
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If it just wants in your own words as it said

wanton dragon
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yea

upbeat mural
exotic fable
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I'd say "it is the area from the x axis to the curve for every value of x between some 2 points a and b"

upbeat mural
upbeat mural
exotic fable
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Meh adding real isn't as important

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But it cannot hurt

upbeat mural
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Remember that I will take every chance I get to turn a complex and use residue torem

exotic fable
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It is implied by the some in mine that it could be any value

exotic fable
wanton dragon
upbeat mural
exotic fable
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And if you really wanna be a dick

upbeat mural
exotic fable
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Use Chinese letters

upbeat mural
exotic fable
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I do that a lot to piss my physics teacher off

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(idk Chinese letters I just draw random bs and he goes with it)

wanton dragon
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a definite integral is the area under a curve between 2 real numbers A and B

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so u think I should say it like that?

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just swap out 2 X values for 2 real numbers A and B

exotic fable
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I would specify the area under the curve but above the x axis

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Or above y = 0

wanton dragon
upbeat mural
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The integral of a function ƒ from two a,b ∈ R is defined as the area that is bounded by the curve of the function ƒ and the interval [a,b] of the x-axis, with area underneath the x-axis as negative and vice vwrsa

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Bit too much

wanton dragon
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yea lol

exotic fable
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I would go with what you said

wanton dragon
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ill combine those 2

exotic fable
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Tbf that kinda question is just to make sure you understand it a bit more

wanton dragon
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I think that wld b good

wanton dragon
exotic fable
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Just ensure to say two real a and b

wanton dragon
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got u

upbeat mural
# wanton dragon yea lol

If you want to be a god-tier dick, search up Lebesgue integrals and throw that at your professor (don’t)

upbeat mural
wanton dragon
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yea

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what I submitted I got from working at the math center here

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so the math center tutor lady thought what I submitted would be good enough

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but ig my prof wanted more

upbeat mural
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Wording is important in math

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Make sure no one can misunderstand

exotic fable
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Yeah assume the reader is a dick and will try and go for something stupid but reasonably stupid

upbeat mural
exotic fable
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So for example my some number a or b works for the most part

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And typically will work fine

upbeat mural
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But I’m a dick

exotic fable
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But if you wanna cover that 1 out of 1000 case just put fuck you Ravi instead

upbeat mural
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wHaT iF a AnD b ∈ ℂ ???

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exotic fable
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If b is complex first step is shoot the professor

upbeat mural
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Shit

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@exotic fable have you ever integrated a donut?

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It is a life changing experience

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Using the residue torem

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Especially when you take the limit as the hole goes to 0

exotic fable
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I spent my 30 min study time finding the area of a square and triangle and perfect cylinder using the application bs

upbeat mural
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It gets tig-
Ok maybe I’ll stop

upbeat mural
wanton dragon
upbeat mural
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Ok gtg

wanton dragon
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becuase in class weve done things where its under the X axis

upbeat mural
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Byeeee

wanton dragon
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so I think ill leave that out

exotic fable
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Well then replace that part with

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From the curve to y = c for some real c

wanton dragon
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yea I just have a definite integral is the area under a curve between 2 real numbers A and B

exotic fable
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That should work idk though