The value of definite integral \( \mathrm{P} \) \[ \int_{-\pi}^{\pi...

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The value of definite integral
\( \mathrm{P} \)
\[
\int_{-\pi}^{\pi} \frac{x^{2}}{1+\sin x+\sqrt{1+\sin ^{2} x}} d x
\]
W
(1) \( \frac{3 \pi^{2}}{2} \)
(2) \( \frac{\pi^{3}}{3} \)
(3) \( \frac{2 \pi^{3}}{3} \)
(4) \( \frac{\pi^{3}}{6} \)
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