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where are the curves?
Okay so we first plot the functions
no I think your right too
ohh i see your graph has a bigger scale xD
okay, so can we set the two equations equal to eachother, to find the boundaries?
actually, if we observe the graph, you see that they don't seem to have any intersection point between the interval 0, pi/2
ooh i thought it intersected near the very beginning cuz it was so close lol
kay. normally to find the boundaries of the two curves, you'd set them equal to eachother right? thats what i did with this problem and i ended up getting x = 0, and 2pi
you are right it intersect at 0 http://www.wolframalpha.com/input/?i=Solve%5B5-4cos%5Bx%5D%3D%3Dcos%5Bx%5D%2Cx%5D
The second part ask, should you integrate with respect to x or y what do you think?
i think with respect to x. i honestly dont really know the difference, i usually integrate with respect to x lol ><
Okay,it is a matter of convenience, you can do with either
If we were to integrate with respect to x we can see that cos[x] is always below the other function
However,it get tricker when you try to integrate with respect to y because for all y<1 you will need one integral and all y>1 you will need another integral Do you see why?
is it because the y values for the upper (positive values) differ from the bottom (negative values) ?
oh wait. is it because the highest y value cosx can go is either -1 or 1
and for the other function, it can go higher than that
When you are integrating with respect to x what you are doing is adding up infinite number of verticle strip between two functions from x=0 to x=pi/2
how about when you integrate with respect to y?
Go here http://www.twiddla.com/537036