engineering mathematics MCQ #1517

∫1 / (1 + 3sin²x) dx

engineering mathematics MCQ #1517

  1. Question 1

    Q1. ∫1 / (1 + 3sin²x) dx

    • A) (1/2)tan^-1(2tan x) + C
    • B) (1/√2)tan^-1(√2tan x) + C
    • C) (1/2)tan^-1((1/2)tan x) + C
    • D) (1/√3)tan^-1(√3tan x) + C

    Answer: (1/√3)tan^-1(√3tan x) + C

    Explanation: Dividing numerator and denominator by cos²x, and then using substitution u = tan x.