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Zena K.

asked • 07/23/20

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. (Note that this area may not be defined over the entire interval.)

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. Note that this area may not be defined over the entire interval.


area =


(I am struggling to find the answer for where the portion of the integral it is defined...)

Kevin S.

tutor
The question is a little unclear. I think what it means is the "area under y=2sin(x) and above y=2cos(x)" doesn't make sense where 2sin is NOT UNDER 2cos. So be careful; it's not about where the *integral* is defined, it's about where the *area* is defined. Those aren't the same thing when the integral is negative. So restrict the integral to where 2cos(x) > 2sin(x) .
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07/23/20

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