anonymous
  • anonymous
im having trouble integrating the double iterated integral R= [0,3] X [0,rad(9-y^2)] and the function inside the integral is "y dy dx"
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
\[\int\limits_{0}^{3}\int\limits_{0}^{\sqrt{9-7^{2}}} y dy dx\] thats the integral
anonymous
  • anonymous
something's not right with either your limits or your order of integration...
anonymous
  • anonymous
sorry your right.... its y dx dy

Looking for something else?

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

More answers

anonymous
  • anonymous
if you're integrating in 'dy' .. your limits will be functions of x
anonymous
  • anonymous
ok
anonymous
  • anonymous
that works...
anonymous
  • anonymous
integral of ydx is yx +C
anonymous
  • anonymous
ive tried u sub...and integration by parts. but i just cant get the answer....
anonymous
  • anonymous
still something weird about it though... shouldn't be written like that...
anonymous
  • anonymous
the problem just says.... evaluate the iterated integral
anonymous
  • anonymous
k
anonymous
  • anonymous
they're writing it weird to try and throw you off I guess...
anonymous
  • anonymous
anyway... plug in the limits on 'x' ... ( 0 ... srt(9-y^2) ) and then evaluate with respect to dy
anonymous
  • anonymous
but then what? dont we need to simplifly
anonymous
  • anonymous
so (y*sqrt(9-y^2) + C) dy
anonymous
  • anonymous
you can use u sub.s ...
anonymous
  • anonymous
9-y^2 = u -2y dy = du y dy = -du/2
anonymous
  • anonymous
yes but then we need to plug in 3 into \[\sqrt{9-3^{2}}\] wich equals 0 in the rad
anonymous
  • anonymous
so?
anonymous
  • anonymous
ends up canceling everything out.... and the answer is supposed to be 3
anonymous
  • anonymous
...
anonymous
  • anonymous
lower limit?
anonymous
  • anonymous
is 0
anonymous
  • anonymous
omg....
anonymous
  • anonymous
ive done this problem like no lie 10 times and i never pluged in the lower limit = 0 giving me the right answer 9
anonymous
  • anonymous
thank you so much for letting me realize this. how to i give a medal??
anonymous
  • anonymous
click 'best response'

Looking for something else?

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