`x^(2)log sin x`

If y=(sin x)^(tan x), then (dy)/(dx)= (a) (sin x)^(tan x)(1+sec^(2)x log sin x)(b)tan x(sin x)^(tan x-1)cos x(c)(sin x)^(tan x)(d)sec^(2)x log sin x tan x(sin x)^(tan x-1)

If y=e^(x) log (sin 2x), find (dy)/(dx) .

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

Differentiate e^(x)log sin2x with respect to x:

Sum of the series 1+x log|(1-sin x)/(cos x))^((1)/(2))+x^(2)log|(1-sin x)/(cos x)|^((1)/(4))+......oo

The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

lim_ (x rarr (pi) / (2)) tan x log sin x

Find derivatives of the following functions e^(3x^2)/ln(sin x)