1.

If\[\int \frac{3\sin x+2\cos x}{3\cos x+2\sin x}dx=ax+b\] ln\[\left| 2\sin x+3\cos x \right|+C\], then

A. \[a=-\frac{12}{13},b=\frac{15}{39}\]
B. \[a=-\frac{7}{13},b=\frac{6}{13}\]
C. \[a=\frac{12}{13},b=-\frac{15}{39}\]
D. \[a=-\frac{7}{13},b=-\frac{6}{13}\]
Answer» D. \[a=-\frac{7}{13},b=-\frac{6}{13}\]


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