Indefinite Integration
Integration of Trigonometric and Logarithmic Functions
Grade 12
Question:
<p>77. \(\int \cos(\log_e x) dx\) is equal to</p>
<p>(a) \(\frac{1}{2}x[\cos(\log_e x) + \sin(\log_e x)]\)</p>
<p>(b) \(x[\cos(\log_e x) + \sin(\log_e x)]\)</p>
<p>(c) \(\frac{1}{2}x[\cos(\log_e x) - \sin(\log_e x)]\)</p>
<p>(d) \(x[\cos(\log_e x) - \sin(\log_e x)]\)</p>
Step-by-Step Solution
Key Concept: Apply integration by parts or use the standard formula for integrals of logarithmic trigonometric functions.
<p>Solution not provided in the source text.</p>
Correct Answer: A