The value of the integral \( \int_{0}^{\log 5} \frac{e^{x} \sqrt{e^{x}-1}}{e^{x}+3} d x \) is (A...

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The value of the integral \( \int_{0}^{\log 5} \frac{e^{x} \sqrt{e^{x}-1}}{e^{x}+3} d x \) is
(A) \( 3+2 \pi \)
(B) \( 4-\pi \)
(C) \( 2+\pi \)
(D) None of these
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