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i know that if you graph those two functions you get two circles, both with radius 3, the first one has its center on the cartesian x axis and the other has its center on the y axis.

i also know that if you draw a line through the center of where they meet the angle of that line is pi/4

what i dont know is which function to integrate and what would be the lower limit of integration.

i know that the formula is 1/2 integral from a to b of (g(x)^2 - f(x)^2)

making 6sinx the second function makes sense since thats the bottom part of the area that i want to find but you cant make the first function 6cosx and integrate from 0 to pi/4 because that would give you more than just where the two functions overlap

any help or ideas about how to solve this would be appreciated.