Question

how can i integrate the following equation

Answer 1

\[\int\limits_{0}^{1} \int\limits_{2y}^{2} \cos(x^2) dx dy\]

Answer 2

well you integrate with respect to x 1st

then integrate with respect to y 2nd...

Answer 3

wait i think i got it, i need to change the limits of integration

Answer 4

it is not mathematical to call it an "equation"

Answer 5

function...

Answer 6

sounds good :) start by sketching the region of interest

Answer 7

yeah i figured it out

Answer 8

i changed the limits of integration so that i integrate with respect to y first

Answer 9

yes what are your new bounds for dydx

Answer 10

\[\int\limits\limits_{0}^{2} \int\limits\limits_{0}^{x/2} \cos(x^2) dy dx\]

Answer 11

looks perfect!

Answer 12

the final answer i got was sin(4)/4

Answer 13

yeah, totally spaced out on this problem. Thanks for the help

Answer 14

yw
wolfram is great for double checking
http://www.wolframalpha.com/input/?i=%5Cint%5Climits%5Climits_%7B0%7D%5E%7B2%7D+%5Cint%5Climits%5Climits_%7B0%7D%5E%7Bx%2F2%7D+%5Ccos%28x%5E2%29+dy+dx