Evaluate the Integral $$\int \frac { \mathrm { e } ^ { 1 / x } } { 5 x ^ { 2 } } d x$$

question 75

Multiple Choice

Evaluate the integral.
- $$\int \frac { \mathrm { e } ^ { 1 / x } } { 5 x ^ { 2 } } d x$$

• A) \(\frac { e ^ { - 1 / x } } { 5 } + C\)
• B) \(- 5 \mathrm { e } ^ { 1 / x } + C\)
• C) \(\frac { \mathrm { e } ^ { 1 / \mathrm { x } } } { 5 } + \mathrm { C }\)
• D) \(- \frac { e ^ { 1 / x } } { 5 } + C\)

---

Definitions:

Independent Variable

A factor in a scientific study that is manipulated or changed to observe its effects on the dependent variable.

Cause-Effect Relationships

The principle stating that every effect in the natural world has a specific cause, and every cause leads to a specific effect.

The Experiment

A methodological approach in research to test hypotheses and establish causation by manipulating variables and observing the effects on a subject or system.

Correlational Research

A research methodology that examines the relationship between variables, determining how they may change together but not cause one another.