Evaluate .
Answer and explanation
Correct answer: A.
- Step 1: Split the integrand: . Integrate: \int_1^2 \left(1 + \frac{1}{x} ight) \, dx = [x + \ln x]_1^2 = (2 + \ln 2) - (1 + \ln 1) = 1 + \ln 2. **Answer: . Why not the others:** " upper limit error" evaluates instead of ; " linear error" fails to subtract from the lower limit evaluation; " missing polynomial" drops the integral of , keeping only the logarithmic part.
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