\[\int_{{}}^{{}}{\frac{3\cos x+3\sin x}{4\sin x+5\cos x}\ dx=}\][EAMCET 1991]

\[\frac{27}{41}x+\frac{3}{41}\log (4\sin x+5\cos x)\]

\[\frac{27}{41}x-\frac{3}{41}\log (4\sin x+5\cos x)\]

\[\frac{27}{41}x-\frac{3}{41}\log (4\sin x-5\cos x)\]

\[\int_{{}}^{{}}{\frac{3\cos x+3\sin x}{4\sin x+5\cos x}\ dx=}\][EAMCE

1.	\[\int_{{}}^{{}}{\frac{3\cos x+3\sin x}{4\sin x+5\cos x}\ dx=}\][EAMCET 1991]
A.	\[\frac{27}{41}x-\frac{3}{41}\log (4\sin x+5\cos x)\]
B.	\[\frac{27}{41}x+\frac{3}{41}\log (4\sin x+5\cos x)\]
C.	\[\frac{27}{41}x-\frac{3}{41}\log (4\sin x-5\cos x)\]
D.	None of these
Answer» B. \[\frac{27}{41}x+\frac{3}{41}\log (4\sin x+5\cos x)\]