(a+b sin x)/(c+d cos x)

A: int (2cos x +3sin x)/(4cos x+5 sin x)dx= (-2)/(41)log|4cos x+5Sinx|+(23)/(41)x+c R: int (a cos x+b sin x)/(c cos x+d sin x)dx= (ac+bd)/(c^(2)+d^(2))x+(ad-bc)/(c^(2)+d^(2))log|c cos x+d sin x |+k

A: (d)/(dx ) {Tan ^(-1) ((a cos x + b sin x)/(b cos x - a sin x))=1 R: (d)/(dx) {Tan ^(-1) ((a cos f (x) +b sin f (x))/(b cos f (x) -a sin f (x)))}=f'(x)

The function f(x)=(a sin x+b cos x)/(c sin x+d cos x) is decreasing,if

If x is real and (a sin x +b cos x)/(c sin x +d cos x) has neither maximum nor minimum then

If int (f(x))/(log cos x) dx = - log(log cos x) + C , then f(x) is equal to a)tan x b) -sin x c) -cos x d) -tan x

The function f(x)=(a sin x+b cos x)/(c sin x+d cos x) is decreasing,if (i) ad-bc>0 (ii) ad-bc 0 (ii) ab-dc<0

Integral of form (a sin x+b cos x)/(c cos x+d sin x)

Solutions of the differential equations (dy)/(dx) + (y)/(x) = sin x is : a) x(y+cos x ) = sin x+ c b) x(y-cos x ) = sin x+c c) x( y cos x ) = sin x +c d) x(y-cos x) = cos x+ c

If f(x)=(ax+b)sin x+(cx+d)cos x, then the values of a b,c and d such that f(x)=x cos x for all x, then (a+b+c+d) is