Finding Volume of a solid

[gritty comet]

Do you have the original question

Oh nvm he transcribed it

Welp alright

[hot hemlock]

u-sub

u = 2x²

du = 4x dx

what happens with x

also what happens with your bounds

x/x cancels

your lower bound 0 plug that into u = 2x² then your new lower bound is also 0

your upper bound sqrt(pi/2) plug that into u = 2x² then your new upper bound is... ?

yes

and no

yes that

first tell me the upper bound

in terms of u...

...

[hot hemlock]

just plug it in

2(sqrt(pi/2))²

yes

[hot hemlock]

so this integral transforms into that

[hot hemlock]

you plug in your bounds

ftc

yes

[undone horizon]

can you help me with a math problem