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Volumes of revolution help urgent two questions

Spent an hour trying to work out the answers to these questions and keep getting a different answer to what the textbook says so any help would be really appreciated.
1) volume bounded by the curve y=secx bounded by the lines x=0 and x= pi /4. Textbook answer is pi
if you integrate sec2x you get a well known function :yep:
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Avatar for Zacken
Zacken
22
Original post by mathswillkillme
Spent an hour trying to work out the answers to these questions and keep getting a different answer to what the textbook says so any help would be really appreciated.
1) volume bounded by the curve y=secx bounded by the lines x=0 and x= pi /4. Textbook answer is pi


Textbook answer is correct? Volume of revolution is: π∫0π/4sec⁡2 dx=π[tan⁡x]0π/4\pi \int_0^{\pi/4} \sec^2 \, \mathrm{d}x = \pi[\tan x]_0^{\pi/4}
Original post by Zacken
Textbook answer is correct? Volume of revolution is: π∫0π/4sec⁡2 dx=π[tan⁡x]0π/4\pi \int_0^{\pi/4} \sec^2 \, \mathrm{d}x = \pi[\tan x]_0^{\pi/4}


Oh Thankyou so much, I tried converting sec to 1/cos and then it all got a bit confusing
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Avatar for Zacken
Zacken
22
Original post by mathswillkillme
Oh Thankyou so much, I tried converting sec to 1/cos and then it all got a bit confusing


No problem.

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