engineering mathematics MCQ #1587

engineering mathematics MCQ #1587

1. Question 1

   Q1. ∫(x + 3) / √(x² + 4x + 13) dx = ?

   • A) √(x² + 4x + 13) + ln|x + 2 + √(x² + 4x + 13)| + C
   • B) √(x² + 4x + 13) + C
   • C) 1/2 √(x² + 4x + 13) + ln|x + 2 + √(x² + 4x + 13)| + C
   • D) 1/2 √(x² + 4x + 13) + C

   Answer: √(x² + 4x + 13) + ln|x + 2 + √(x² + 4x + 13)| + C

   Explanation: Split the integral into two parts, one simplifies to √(x²+4x+13) and the other to ln|x+2+√(x²+4x+13)|.