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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

The shaded region shown is under y=x2y=x^2 from x=0x=0 to x=2.x=2.
Total: 4 marks

(a) Write the definite integral for the shaded area. (1 mark)

(b) Evaluate the area. (2 marks)

(c) Explain why no +C+C appears in the final answer. (1 mark)

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cbse-math-12.u3.t3-8.case.005

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