engineering mathematics MCQ #1513

∫(sin x + cos x) / √(sin 2x) dx

engineering mathematics MCQ #1513

  1. Question 1

    Q1. ∫(sin x + cos x) / √(sin 2x) dx

    • A) √(sin x + cos x) + C
    • B) √(sin 2x) + C
    • C) sin^-1(sin x - cos x) + C
    • D) ln|sin x + cos x| + C

    Answer: sin^-1(sin x - cos x) + C

    Explanation: Using trigonometric identity sin 2x = (sin x + cos x)² - 1, and substitution, we simplify the integral to ∫1 / √(1 - (sin x - cos x)²) d(sin x - cos x).