What is ∫ x/(x²+2) dx?

D. (1 / 2)ln(x²+2)+C

Step 1: Identify the concept: substitution. Step 2: Take u=x²+2; then du=2x dx, so factor 1/2 appears. Answer is (1/2)ln(x²+2)+C. Step 3: Exam tip: If numerator resembles derivative of denominator, use substitution.

Step 1: अवधारणा substitution है। Step 2: u=x²+2 लेने पर du=2x dx, इसलिए factor 1/2 आएगा। Answer (1/2)ln(x²+2)+C। Step 3: याद रखें: Numerator denominator के derivative जैसा हो तो substitution लगाएं।