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 70

Short Answer

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

---

Definitions:

Self-absorption

Excessive preoccupation with oneself and one's own needs, often at the expense of others.

Altered Self-concept

A change in the way one perceives one's identity, characteristics, and capabilities, often due to illness or major life events.

Risky Behaviour

Actions that expose individuals to harm or significant risk of negative outcomes.

Human Papillomavirus (HPV) Vaccine

A vaccine aimed at preventing infections by human papillomaviruses, known to cause cervical cancer and other diseases.