Integration By Parts

Step 1: Understanding the Concept:
Recognize the derivative of the denominator.

Step 2: Detailed Explanation:
Let . Then . The numerator . Try to express in terms of derivative. Multiply numerator and denominator: Consider . So . Also, appears in derivative of ? Better approach: Let . Then . Rewrite integral. Alternatively, note that derivative of gives the integrand. Checking: Differentiate option (A): . Using quotient rule, we get . Yes, matches.

Step 3: Final Answer:
Option (A) is correct.