Definite Integration
Trigonometric Integration
Grade 12
Question:
<p>The value of <span>\(\int_0^{\pi/2} \frac{\cos^2 x}{1 + \cos x} dx\)</span>, where <span>\([\cdot]\)</span> denotes greatest integer function, is</p>
<p>(A) 1</p>
<p>(B) 1/2</p>
<p>(C) 2</p>
<p>(D) none of these</p>
Step-by-Step Solution
Key Concept: Apply trigonometric identities and evaluate the definite integral using properties of cosine function over [0, π/2].
<p>This problem requires evaluation of the definite integral using properties of trigonometric functions and the greatest integer function.</p>
Correct Answer: A