engineering mathematics MCQ #1585

∫(1 + tanx) / (1 - tanx) dx = ?

engineering mathematics MCQ #1585

  1. Question 1

    Q1. ∫(1 + tanx) / (1 - tanx) dx = ?

    • A) -ln|cos(x - π/4)| + C
    • B) ln|cos(x + π/4)| + C
    • C) ln|sin(x + π/4)| + C
    • D) -ln|sin(x - π/4)| + C

    Answer: -ln|cos(x - π/4)| + C

    Explanation: Using the identity tan(A-B), simplify the expression to tan(x + π/4).