sqrt(log{sin((x^(2))/(3)-1)})

Differentiate the following w. r. t. x. sqrt[log_e{sin(x^(2)/(3)-1)}]

log sin sqrt(x^(2)+1)

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

Domain and range of sin(log((sqrt(4-x^(2)))/(1-x)))

int_(sqrt(ln2))^(sqrt(ln3))(x sin x^(2))/(sin x^(2)+sin(ln6-x^(2)))dx is

The value of int _(sqrt ( log 2 )) ^(sqrt( log 3 )) (x sin x ^(2))/( sin x ^(2) + sin (log 6 -x ^(2)))dx is

If y=log sqrt((1+sin^(2)x)/(1-sin^(2)x)), then find (dy)/(dx)

lim_(x rarr0)(sin^(3)(sqrt(x))log(1+3x))/((tan^(-1)sqrt(x))^(2)(e^(5sqrt(x))-1)x)=

int(1)/(sin x+sqrt(3)cos x)dx=(1)/(2)log tan((x)/(2)+(pi)/(3))+c