engineering mathematics MCQ #1583

∫(x + 1) / (x² + 2x + 5) dx = ?

engineering mathematics MCQ #1583

  1. Question 1

    Q1. ∫(x + 1) / (x² + 2x + 5) dx = ?

    • A) 1 / 2 ln|x² + 2x + 5| + C
    • B) 1 / 2 ln|x² + 2x + 5| + (1/2)tan^(-1)((x+1)/2) + C
    • C) (1/2)tan^(-1)((x+1)/2) + C
    • D) ln|x² + 2x + 5| + C

    Answer: 1 / 2 ln|x² + 2x + 5| + (1/2)tan^(-1)((x+1)/2) + C

    Explanation: Rewrite the numerator to match the derivative of the denominator and use arctan form.