Evaluate the Integral by Making a Substitution and Then Using $$\int \tan t \cdot \sqrt { 1 - \cos ^ { 2 } t } d t$$

question 246

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \tan t \cdot \sqrt { 1 - \cos ^ { 2 } t } d t$$

• A) \(\ln | \csc t - \cot t | - \sin t + C\)
• B) \(\ln | \sec t + \tan t | - \sin t + C\)
• C) \(\ln | \sec t + \tan t | + \sin t + C\)
• D) \(\ln | \sec t | + \cos t + C\)