Evaluate the indefinite integral ∫(6x² + 4) dx.
Answer and explanation
Correct answer: B. 2x³ + 4x + C
- Step 1: Raise each power by one and divide: 6x² becomes 2x³. Step 2. The constant 4 integrates to 4x; add C. Answer: 2x³ + 4x + C. Why not the others: 12x is a derivative, 6x³ forgets to divide by 3, and 2x³ + 4 forgets to integrate the constant.
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