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find the are bounded by the x-axis,y-axis and the curve x^2+y^2+16x+16y+64=0.

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The area is bounded by 1/4 of the circle with center at (-8,8) and radius 8. So, it's just

r^2 - 1/4 (pi r^2) 64-(1/4)pi*8^2 = 64-16pi

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