Use the Substitution Formula to Evaluate the Integral $$\int _ { 0 } ^ { \pi / 12 } 12 \tan 3 x d x$$

question 110

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 0 } ^ { \pi / 12 } 12 \tan 3 x d x$$

• A) 4 ln 2
• B) 2 ln 2
• C) 2 ln 3
• D) -2 ln 2

---

Definitions:

Prior Probability

The probability of an event or hypothesis before new evidence is taken into account.

Bayes' Law

A theorem in probability theory used to update the probability of a hypothesis as more evidence or information becomes available.

Posterior Probability

The probability of an event or hypothesis after taking into consideration new evidence or information.

Prior Probabilities

The probabilities that are assigned to events or hypotheses before any relevant evidence is taken into account, used in Bayesian analysis.