" 8."(sin(log x))/(x^(2))

(sin x)^(log x)

int cos(log x)dx is equal to (A)(x)/(2)(cos(log x)-sin(log x))+c(B)x(cos(log x)+sin(log x))+c(C)(x)/(2)(cos(log x)+sin(log x)+c(D)x(cos(log x)-sin(log x))+c

(i) int (sin(log x))/x dx (ii) int log x (sin[1+(logx)^2])/x dx

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

int_(0)^( pi/2)(sin8x log(cot x))/(cos2x)backslash dx is equal to

int_(0)^((pi)/(2))(sin8x log(cot x))/(cos2x)dx

int_(0)^(pi//2) (sin 8x.log(cot x))/(cos 2 x)dx=