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Definite Integration
Polynomial Integration
Premium Question
Grade 12

Question:

$\int_0^2 (x^2 + 1) \, dx$ equals:
(1) $\frac{14}{3}$
(2) $\frac{8}{3}$
(3) $6$
(4) $\frac{10}{3}$

Step-by-Step Solution

Key Concept: Integrate term by term using the power rule to find the antiderivative, then evaluate it at the upper and lower limits and subtract.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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