Evaluate the Integral $$\int _ { 0 } ^ { 5 } \int _ { 0 } ^ { \sqrt { 25 - y ^ { 2 } } } \int _ { 0 } ^ { 5 x + 10 y } d z d x d y$$

question 324

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 5 } \int _ { 0 } ^ { \sqrt { 25 - y ^ { 2 } } } \int _ { 0 } ^ { 5 x + 10 y } d z d x d y$$

• A) 625
• B) 25
• C) 125
• D) 3125

---

Definitions:

Irrational Beliefs

Refers to illogical, unfounded, or unrealistic beliefs that often lead to negative emotions and behaviors.

Cognitive Therapies

Psychological treatments focused on identifying and restructuring negative and maladaptive thought patterns.

Rules for Living

Beliefs or guiding principles that individuals create for themselves, often unconsciously, dictating how they should behave or what they must achieve to feel worthy or successful.

REBT

Rational Emotive Behavior Therapy, a form of psychotherapy which identifies irrational beliefs, challenges and disputes them, and encourages the adoption of more rational beliefs and behaviors.