1.

The value of \(\mathop \smallint \nolimits_0^{\pi /2} \frac{{{\rm{si}}{{\rm{n}}^3}x}}{{{\rm{sin}}x + {\rm{cos}}x}}{\rm{dx}}\) is:

A. \(\frac{{\pi - 2}}{8}\)
B. \(\frac{{\pi - 1}}{4}\)
C. \(\frac{{\pi - 2}}{4}\)
D. \(\frac{{\pi - 1}}{2}\)
Answer» C. \(\frac{{\pi - 2}}{4}\)


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