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 32

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) 0
• D) \(\frac { 3 } { 8 }\)
• E) None of these

---

Definitions:

U.S. Courts of Appeals

Intermediate federal appellate courts that review decisions of federal district courts, regulatory commissions, and other federal courts.

Senate

One of the two chambers in a bicameral legislature, often responsible for making, amending, and ratifying laws.

Federal Courts

These are courts established under the federal government of a country, handling cases involving federal law and constitutional issues.

State Courts

Courts that have jurisdiction over matters within their own state, including civil, criminal, and family cases, distinct from federal courts.