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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