cos xquad log_(e)x

If |[e^x, sin x, 1],[ cos x ,log_(e)(1+x^(2)), 1],[ x, x^(2), 1]| =a+bx+cx^(2) then (a+b)^(2) is equal to

(cos x)/("log"_(e)x)

Differentiate wrto x: (cos x)/("log"_(e)x)

Let f(x)=(e^(x)x cos x-x log_(e)(1+x)-x)/(x^(2)),x!=0 If f(x) is continuous at x=0, then f(0) is equal to

lim_(x rarr0)(3+alpha sin x+beta cos x+log_(e)(1-x))/(3tan^(2)x)=(1)/(3) ,then 2 alpha-beta is equal to

The value of the integral int_(0) ^(pi) cos 2 x log _(e) sin x dx is

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =