1.

If\[I=\int{{{\sin }^{-\frac{11}{3}}}x{{\cos }^{-\frac{1}{3}}}xdx}\]\[=A{{\cot }^{2/3}}x+B{{\cot }^{8/3}}x+C\]. Then

A.             \[A=\frac{2}{3},B=\frac{8}{3}\]
B. \[A=-\frac{3}{2},B=-\frac{3}{8}\]
C. \[A=\frac{3}{2},B=\frac{3}{8}\]
D. None of these
Answer» C. \[A=\frac{3}{2},B=\frac{3}{8}\]


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