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Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y....Asked by Ronathan
Find the area of the region bounded by the curves y = sin^-1(x/4) , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.
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Answered by
Steve
Note that x=4siny and you want the area "above" the curve
a = ∫[0,pi/2] 4-4siny dy = 4y+4cosy [0,pi/2] = 2pi-4
a = ∫[0,pi/2] 4-4siny dy = 4y+4cosy [0,pi/2] = 2pi-4