anonymous
  • anonymous
The region in the first quadrant bounded by the x-axis, the line x = π, and the curve y = sin(sin(x)) is rotated about the x-axis. What is the volume of the generated solid?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
my main trouble is finding the area bounded by the functions
freckles
  • freckles
|dw:1438886124740:dw| looks something like that
freckles
  • freckles
well the area bounded by x=0 and x=pi and y=sin(sin(x) and y=0

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
x = pi !!! i see for some reason i just assumed it was y = pi
freckles
  • freckles
y=sin(sin(x))* forgot to close the parenthesis
anonymous
  • anonymous
okay so this area right |dw:1438886325934:dw|
freckles
  • freckles
they want you to find the volume of that thing rotated about y=0? or just find the integral representation fro the volume?
anonymous
  • anonymous
the former
freckles
  • freckles
have you ever heard of the bessel function?
anonymous
  • anonymous
i have now
anonymous
  • anonymous
let me try to do the problem and tell me if i did something wrong
freckles
  • freckles
alright just so we are clear that one equation is y=sin(sin(x))?
freckles
  • freckles
if so i have some research to do :p unless we can use some form of approximating maybe like taylor series
anonymous
  • anonymous
yes it is y= sin(sin(x)) but if your wondering i'm rather certain the x intercept happens to be at pi
anonymous
  • anonymous
its just calc 1 so should not involve anything too complex
freckles
  • freckles
i'm just extremely curious how we are going to evaluate: \[\int\limits_{0}^{\pi} \pi \sin^2(\sin(x)) dx\] it involves non-elementary functions
anonymous
  • anonymous
well ill just use the trusty ti-84 :D
freckles
  • freckles
ok so that is awesome if we can use calculator
anonymous
  • anonymous
1.219
freckles
  • freckles
I'm not getting that
anonymous
  • anonymous
what are you getting ?
anonymous
  • anonymous
oh woops forgot to multiply by pi
freckles
  • freckles
http://www.wolframalpha.com/input/?i=integrate%28pi*sin%5E2%28sin%28x%29%29%2Cx%3D0..pi%29 approximately 3.83
anonymous
  • anonymous
close one 1.219 is an answer choice too
freckles
  • freckles
lol they were probably like oooo let's throw in a trick choice the answer sorta you know just without being multiplied by pi
anonymous
  • anonymous
yep almost fell right for it , thanks for catching me :D

Looking for something else?

Not the answer you are looking for? Search for more explanations.