A) 0
B) \[\frac{1}{2}\]
C) \[\frac{1}{3}\]
D) \[\frac{1}{4}\]
Correct Answer: C
Solution :
\[\int_{0}^{1}{{{e}^{2\log x}}dx=\int_{0}^{1}{{{e}^{\log {{x}^{2}}}}}dx=\int_{0}^{1}{{{x}^{2}}dx=\left[ \frac{{{x}^{3}}}{3} \right]_{0}^{1}=\frac{1}{3}}}\].
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