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Definite Integral by Partial Fractions

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Evaluate ∫04x2+4x2+2x+1 dx\int_{0}^{4} \frac{x^2 + 4}{x^2 + 2x + 1} \, dx.

A

4+ln⁡(5/1)4 + \ln(5/1)

B

4+2ln⁡(5)4 + 2\ln(5)

C

8−2ln⁡(5)8 - 2\ln(5)

D

4−2ln⁡(5)4 - 2\ln(5)

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