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

question 139

Essay

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