Question:

Given: Problem statement: Evaluate $\int \frac{x^2}{(x-1)(x-2)(x-3)} dx$.
Step 1: Apply definite integral property / partial fractions:
Apply king property $\int_0^a f(x) dx = \int_0^a f(a-x) dx$ or partial fraction decomposition. [1.0 Mark]
Step 2: Integrate transformed functions:
Compute anti-derivative or evaluate simplified definite integral. [1.0 Mark]
Step 3: Evaluate limits and state final answer:
Substitute limits of integration to obtain numerical/algebraic result. [1.0 Mark]
Conclusion: Result evaluated successfully.

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🎯 Official CBSE Marking Scheme:
Applying integral property / substitution: 1.0 Mark
Evaluating indefinite/definite integral: 1.0 Mark
Substituting limits and final answer: 1.0 Mark