weird integration qu

[thorn goblet]

how do i get the area below the horizontal line between f1 and f2

in this case, yes u can just use triangle area + integral area, bu t hhow about more generally

i integrated for the red area but idk how to get green

like, what if f1 was curved

<@&791435371564892232>

of course, in terms of c please

please 😭

[icy zenith]

if f1 was curved:
find the integral of f2 from 0 to c2 - the integral of f1 from 0 to c2
the add the area of the rectangle formed by the horizontal line and c2 and c1. c * (c-c2)
subtract the integral of f1 from c2 to c

to put it another way area of purple box - area (integral) from the green

[thorn goblet]

thank u very much

[icy zenith]

👍

[uneven wraith]

Isn't this an MAT question

Something do with the fact that,that line divides the curve or something

[uneven wraith]

a*

[thorn goblet]

yeah

for me, this was the hardest part - doing it WITHOUT geometry (area of triangle)

i mean, i did use geometry in the end, but i was curious anyways

[uneven wraith]

That wasn't the question tho right if I'm not wrong idr

[thorn goblet]

it was part of it - u needed to get area bound between f2 and f1 and equate it to 1/12 to get c=1/2

inspection gang 😉