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

question 170

Multiple Choice

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

• A) \(\int _ { 0 } ^ { 1 } \int _ { \pi / 2 } ^ { \sin ^ { - 1 } y } ( 8 x + 9 y ) d x d y\)
• B) \(\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sin ^ { - 1 } y } ( 8 x + 9 y ) d x d y\)
• C) \(\int _ { 0 } ^ { 1 } \int _ { \sin ^ { - 1 } y } ^ { \pi / 2 } ( 8 x + 9 y ) d x d y\)
• D) \(\int _ { 0 } ^ { \pi / 2 } \int _ { \sin ^ { - 1 } y } ^ { 1 } ( 8 x + 9 y ) d x d y\)

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