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

int_0^oo logx/(1+x^2)dx= (A) log2 (B) pi/2 (C) 0 (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 y=(log)_(sin x)(tan x),then(((dy)/(dx)))_((pi)/(4)) is equal to (a) (4)/(log2)(b)-4log2(c)(-4)/(log2)(d) none of these

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a then (dy)/(dx) is equal to (x^(2)-y^(2))/(x^(2)+y^(2)) (b) (y)/(x) (c) (x)/(y) (d) none of these

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a then (dy)/(dx) is equal to (x^(2)-y^(2))/(x^(2)+y^(2)) (b) (y)/(x) (c) (x)/(y) (d) none of these

(tanx)^(y)=(tany)^(x)

int(x+sinx)/(1+cosx)dx= (A) xtan(x/2)+c (B) log(1-cosx)+c (C) (tan(x/2))/2+c (D) none of these

If ax^(2)+2hxy+by^(2)=0, then (dy)/(dx) is equal to (y)/(x)( b) (x)/(y)(c) ,None of these

If y= (x)/((x+5)) , then (dx)/(dy) equals- (A) (5)/((1-y)^(2)) (B) (5)/((1+y)^(2)) (C) (1)/((1-y)^(2)) (D) None of these