engineering mathematics MCQ #1518

engineering mathematics MCQ #1518

1. Question 1

   Q1. ∫(x + 1) / √(x² + 2x + 2) dx

   • A) √(x² + 2x + 2) + C
   • B) √(x² + 2x + 2) + ln|x + 1 + √(x² + 2x + 2)| + C
   • C) ln|x + 1 + √(x² + 2x + 2)| + C
   • D) √(x² + 2x + 2) - ln|x + 1 + √(x² + 2x + 2)| + C

   Answer: √(x² + 2x + 2) + ln|x + 1 + √(x² + 2x + 2)| + C

   Explanation: Splitting the integral into two parts, one for √(x² + 2x + 2) and the other for 1 / √(x² + 2x + 2).