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Logarithmic Integration Rule

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Evaluate ∫1e2x+3x2+3x dx\displaystyle\int_1^e \frac{2x + 3}{x^2 + 3x} \, dx

A

2e+3−ln⁡(e+3)2e + 3 - \ln(e + 3)

B

e2+3e−4e^2 + 3e - 4

C

e2+3e4\frac{e^2 + 3e}{4}

D

ln⁡(e2+3e)−ln⁡4\ln(e^2 + 3e) - \ln 4

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