1.

\({\rm{A}} = \mathop \smallint \limits_0^{\rm{\pi }} \frac{{\sin {\rm{x\;dx}}}}{{\sin {\rm{x}} + \cos {\rm{x}}}}{\rm{and\;B}} = \mathop \smallint \limits_0^{\rm{\pi }} \frac{{\sin {\rm{x\;dx}}}}{{\sin {\rm{x}} - \cos {\rm{x}}}}\)What is the value of B?

A. \(\frac{{\rm{\pi }}}{4}\)
B. \(\frac{{\rm{\pi }}}{2}\)
C. \(\frac{{\rm3{\pi }}}{4}\)
D. π
Answer» C. \(\frac{{\rm3{\pi }}}{4}\)


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