If `dx/dy=2^(tany) sec^2y`, then `x` is equal to (A) `2^(tany)/log2+C` (B) `2^(tany)+C` (C) `tany+C` (D) none of these

int_2^4 log[x]dx is (A) log2 (B) log3 (C) log5 (D) none of these

The solution of cos(x+y)dy=dx is (A) y=cos^-1(y/x)+C (B) y=xsec(y/x)+C (C) y=tan((x+y)/2)+C (D) none of these

If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4) . 1/2(tany+tanz) (b) 1/2(coty+cotz) 1/2(siny+sinz) (d) none of these

If y=(log)_(sinx)(tanx),t h e n(((dy)/(dx)))_(pi/4)"is equal to" (a) 4/(log2) (b) -4log2 (c) (-4)/(log2) (d) none of these

intxsecx^2\ dx is equal to 1/2log(secx^2+tanx^2)+C (b) (x^2)/2log(secx^2+tanx^2)+C (c) 2log(secx^2+tanx^2)+C (d) none of these

Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to (a) 4x (b) 2x (c) x (d) none of these

int(sin5x)/(cos7xcos2x)dx is equal to (A) log|sec7x|+c (B) log|sec7xsec2x|+c (C) log|sec7x+sec2x|+c (D) none of these

If x , y , z are in A.P., then (sinx-sinz)/(cosz-cosx) is equal to (a) tany (b) coty (c) siny (d) coty

If x , y , z are in A.P., then (sinx-sinz)/(cosz-cosx) is equal to (a) tany (b) coty (c) siny (d) cosy

If a ,\ b ,\ c are in proportion, then (a) a^2=b c (b) b^2=a c (c) c^2=a b (d) None of these