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Let R Be the Region Bounded By y=x3y = x ^ { 3 }

Question 139

Essay

Let R be the region bounded by: y=x3y = x ^ { 3 } , the tangent to y=x3y = x ^ { 3 } at (1,1)( 1,1 ) , and the x-axis.Find the area of R integrating
(a) with respect to x.(b) with respect to y.

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