Use a Trigonometric Substitution to Evaluate the Integral $$\int \frac { d x } { x \left( 1 + 25 \ln ^ { 2 } x \right) }$$

question 350

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- $$\int \frac { d x } { x \left( 1 + 25 \ln ^ { 2 } x \right) }$$

• A) \(\frac { 1 } { 5 x } \tan ^ { - 1 } ( 5 \ln x ) + C\)
• B) \(\frac { 1 } { 5 } \tan ^ { - 1 } \left( 25 \ln ^ { 2 } x \right) + C\)
• C) \(\frac { 1 } { 50 } \ln \left( 1 + 25 \ln ^ { 2 } x \right) + C\)
• D) \(\frac { 1 } { 5 } \tan ^ { - 1 } ( 5 \ln x ) + C\)

Grasp the concept of groupthink, its causes, and how it can be avoided.

Recognize the influence of conformity and the factors promoting it.

Explain the role of normative and informational social influence in shaping behavior.

Understand the mechanisms of resistance to social pressure, including asserting personal control and reacting against social norms.

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