engineering mathematics MCQ #1555

∫cos(x) / (1 + sin(x)) dx = ?

engineering mathematics MCQ #1555

  1. Question 1

    Q1. ∫cos(x) / (1 + sin(x)) dx = ?

    • A) ln|1 + sin(x)| + C
    • B) ln|sin(x)| + C
    • C) 1 / (1 + sin(x)) + C
    • D) sin(x) + C

    Answer: ln|1 + sin(x)| + C

    Explanation: Used substitution u = 1 + sin(x), du = cos(x) dx, resulting in ∫du / u = ln|u| + C.