The value of \( \int_{0}^{\pi / 2} \frac{\log \left(1+x \sin ^{2} \...

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The value of \( \int_{0}^{\pi / 2} \frac{\log \left(1+x \sin ^{2} \theta\right)}{\sin ^{2} \theta} d \theta ; x \geq 0 \) is equal
\( \mathrm{P}^{19: 2} \)
W to
(1) \( \pi(\sqrt{1+x}-1) \)
(2) \( \pi(\sqrt{1+x}-2) \)
(3) \( \sqrt{\pi}(\sqrt{1+x}-1) \)
(4) None of these
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