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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Definitions:

Visual Cortex

The visual cortex is the part of the cerebral cortex of the brain that processes visual information, located in the occipital lobe.

Fovea

A small depression in the retina of the eye where visual acuity is highest, due to a high concentration of cones and absence of blood vessels.

Representation

the act of portraying, depicting, or standing in for something, often used in the context of mental models or symbols.

Periphery

Denotes the outer limits or edge of an area or object, often used in contrast to the center or core.