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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
The integral ∫012ln⁡(1+2x)1+4x2dx\int\limits_{0}^{\frac{1}{2}} \frac{\ln (1+2 \mathrm{x})}{1+4 \mathrm{x}^2} \mathrm{dx}, equals:
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Correct option: C
π16ln⁡2\frac{\pi}{16} \ln 2
Option C (π16ln⁡2\frac{\pi}{16} \ln 2) is correct because it is the result of evaluating the integral using substitution and properties of definite integrals.

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