Indefinite Integration
Integration of Trigonometric Functions
Grade 12
Question:
<p>If the integral <span>\(\int \frac{5\tan x}{\tan x - 2} dx = x + a\log|\sin 2x\cos x| + k\)</span>, then <span>\(a\)</span> is equal to</p>
<p>(a) –1</p>
<p>(b) –2</p>
<p>(c) 1</p>
<p>(d) 2</p>
Step-by-Step Solution
Key Concept: Compare the coefficient of the logarithmic term in the computed integral with the given expression
<p>This requires evaluating the integral and comparing coefficients with the given form.</p>
Correct Answer: A