engineering mathematics MCQ #1551

∫(x + 2) / √(x² + 4x + 7) dx = ?

engineering mathematics MCQ #1551

  1. Question 1

    Q1. ∫(x + 2) / √(x² + 4x + 7) dx = ?

    • A) √(x² + 4x + 7) + ln|x + 2 + √(x² + 4x + 7)| + C
    • B) √(x² + 4x + 7) + C
    • C) ln|x + 2 + √(x² + 4x + 7)| + C
    • D) √(x² + 4x + 7) - ln|x + 2 + √(x² + 4x + 7)| + C

    Answer: √(x² + 4x + 7) + ln|x + 2 + √(x² + 4x + 7)| + C

    Explanation: Splitting the integral into two parts, and using substitution u = x² + 4x + 7, and standard integral.