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Indefinite Integration
General
Grade 12

Question:

Evaluate $\int (\sin x + x \cos x) dx$

Step-by-Step Solution

Key Concept: General
$\int (\sin x + x \cos x) dx = \int (\underbrace{\sin x}_{f(x)} + \underbrace{x \cos x}_{f'(x)}) dx = x \sin x + C$
Correct Answer: $x \sin x + C$

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