Answer Check!! Calculus!! Medal!!

Question

trisarahtops · Answer

R is the 4th quadrant region enclosed by the x-axis and the curve y = x^2 – 2kx, where k > 0. Find the value of k so that the area of the region R is 36 square units.

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freckles · Answer

looks good to me unless i made an error 

this is the way I went about it:
calculate intersections of y=0 and y=x^2-2kx
those were my lower and upper limits (the intersections were)
You should find that between these intersections that 0>x^2-2kx for x on that interval
so your upper function is f(x)=0 and your lower function is g(x)=x^2-2kx

did the whole integration and plug in limits and solve the equation for k

trisarahtops · Answer

that's exactly what i did. Glad we got the same answer :D