Calculate the Iterated Integral $\int _ { 0 } ^ { x } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { 1 - y ^ { 2 } } } 4 y \sin x d z d y d x$

question 3

Multiple Choice

Calculate the iterated integral.
$\int _ { 0 } ^ { x } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { 1 - y ^ { 2 } } } 4 y \sin x d z d y d x$

• A) \(\frac { 8 } { 3 }\)
• B) 4
• C) \(\frac { 3 } { 8 }\)
• D) 0
• E) None of these

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Definitions:

Caudal

Pertaining to the tail or the posterior part of the body in a given direction, opposite of cranial.

Cephalic

Relating to the head or the head end of the body.

Caudal

Relating to the tail or posterior part of the body.

Axillary Border

The edge of the scapula closest to the armpit, significant in anatomy for muscle attachment.