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

---

Definitions:

Marilyn

Often refers to Marilyn Monroe, a major cultural icon and American actress, model, and singer of the 1950s and early 1960s.

Centre Georges Pompidou

A multidisciplinary cultural center in Paris, France, known for its high-tech architectural style, housing a large public library, the National Museum of Modern Art, and various research and activity areas.

Cultural Arts Center

A venue or institution that provides space and resources for the exhibition, performance, and study of various arts, typically encompassing both visual and performing arts.

Piano And Rogers

Piano And Rogers refers to the collaboration between architects Renzo Piano and Richard Rogers, notably leading to the design of the Centre Pompidou in Paris.