Evaluate the Iterated Integral $\int _ { 0 } ^ { 1 } \int _ { y } ^ { 1 } \sin \left( x ^ { 2 } \right) d x d y$

question 258

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { 1 } \int _ { y } ^ { 1 } \sin \left( x ^ { 2 } \right) d x d y$ .

• A) \(\frac { 1 } { 2 } ( \cos 1 - 1 )\)
• B) \(\frac { 1 } { 2 } ( 1 - \cos 1 )\)
• C) \(\frac { 1 } { 2 } \cos 1\)
• D)1
• E) \(\frac { 1 } { 2 } ( \sin 1 - 1 )\)
• F) \(\frac { 1 } { 2 } ( 1 - \sin 1 )\)
• G) \(\frac { 1 } { 2 } \sin 1\)
• H)0

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Definitions:

Vasoconstriction

Decreased diameter of blood vessels.

Erectile Tissue

Specialized tissue found in certain parts of the body like the penis and clitoris, which can become engorged with blood, causing the tissue to harden and expand.

Venules

Small veins that collect blood from capillary beds and join to form veins, facilitating the return of blood to the heart.

Engorgement

The swelling of bodily tissues, often due to an excessive accumulation of fluid or blood.