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Write an Equivalent Double Integral with the Order of Integration 0π/20sinx(8x+9y)dydx\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \sin x } ( 8 x + 9 y ) d y d x

Question 170

Multiple Choice

Write an equivalent double integral with the order of integration reversed.
- 0π/20sinx(8x+9y) dydx\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \sin x } ( 8 x + 9 y ) d y d x


A) 01π/2sin1y(8x+9y) dxdy\int _ { 0 } ^ { 1 } \int _ { \pi / 2 } ^ { \sin ^ { - 1 } y } ( 8 x + 9 y ) d x d y
B) 010sin1y(8x+9y) dxdy\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sin ^ { - 1 } y } ( 8 x + 9 y ) d x d y
C) 01sin1yπ/2(8x+9y) dxdy\int _ { 0 } ^ { 1 } \int _ { \sin ^ { - 1 } y } ^ { \pi / 2 } ( 8 x + 9 y ) d x d y
D) 0π/2sin1y1(8x+9y) dxdy\int _ { 0 } ^ { \pi / 2 } \int _ { \sin ^ { - 1 } y } ^ { 1 } ( 8 x + 9 y ) d x d y

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