" 32."log(sin x^(2))

(sin x)^(log x)

derivative of log(sin x^2)

int 32x^(3).(log x)^(2) dx =

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

solve for x:log_(sin^(2)x)(2)+log_(cos^(2)x)(2)+2log_(sin^(2)x)(2)log_(cos^(2)x)(2)=0

The domain of the function log(sin^(2)x) is

x^(2)log sin x

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

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C