2024 AP Calculus AB FRQ #6

Free Response Question 6 from the 2024 AP Calculus AB exam

Area & Volume problem; non-calculator.
area of region bounded by curves; set up but do not evaluate; volume with rectangle cross sections; do NOT simplify your answers; volume of revolution about horizontal axis.

[drybowser]

I think I locked in on this exam but I simplified WAY too much. Hopefully I didn’t fly too close to the sun 😅

[emerlead]

ur literally the goat for dropping this so fast, thanks! i used your videos a lot to study and i think i got a 5 :)

[ashvinjaishankar]

6b actually does simplify a bit because the first two terms when you plug in 5 cancel out, but I still wouldn’t do it either

[imnobody]

This is one of two FRQs I didn't finish. By the time I got to it I had about 5 minutes left on the clock. I went and knocked A out and then read over B and C, saw that there was no way I would be able to do B with what little time I had left and tried to do C but sadly all I could get down was the integral symbol :(

[Floral_skies]

Oh no, I know how to integrate but I wasn’t sure if I was using the right formula for rectangle cross sections. I did show some work but didn’t finish bc of this. Will I get partial credit at least? (Please)

[jessica-qlqp]

for part A I got the answer you wrote, but I substituted the values as well, would i still get the point

[jakegeorge]

is it okay for part a if i did integral of f(x) + absolute value of g(x) from 0 to 2

[anonymousplayer]

Are there different versions of the FRQs for AP Calc AB? My questions don’t match the ones in your videos.

[allaboutfootball-gg]

You Rock bro! I got a different form But I think hopefully I got a 5 thanks to you!!

[cj.]

For part a if I put the integral from 0-2 of f(x) + the integral from 0-2 of the absolute value of g(x), will I get points? It still gives the same numerical value

[aviationfan-yvpu]

I thought part A's R area included the area under the x axis, so I added f and g

[ashvinjaishankar]

I’m a little surprised they asked you to write but don’t solve in part a, which is a really easy integral to evaluate, but they wanted you to setup and evaluate in part b.

[UnfunnyGaming]

As someone who just took BC, this is so easy compared to BC

[astronm]

Wait I'm goated i think i only got three individual parts out of all 6 questions wrong 🔥🔥🔥