Evaluate the Integral $$\int _ { 1 } ^ { 5 } \int _ { 0 } ^ { \ln x } e ^ { y } d y d x$$

question 88

Multiple Choice

Evaluate the integral.
- $$\int _ { 1 } ^ { 5 } \int _ { 0 } ^ { \ln x } e ^ { y } d y d x$$

• A) 9
• B) 8
• C) 4
• D) 18

---

Definitions:

University of Michigan

A public research university in Ann Arbor, Michigan, known for its comprehensive academic programs and research initiatives.

Path-goal Theory

A leadership theory that suggests leaders can increase subordinate satisfaction and performance by clarifying paths to goals and removing obstacles.

Expectancy Theory

A motivational theory suggesting that individuals are motivated to act based on their expectations of outcomes and rewards.

Valuable Payoff

Significant or worthwhile benefits or gains, often as a result of investment or effort in a particular area or activity.