" 10.(1) "(cot(log x))/(x)

lntegrate the following function with respect to x, (cot (log x))/x

lim_(x rarr0)(cot)^((1)/(log x))

(cot x)/(log (sin x))

int [cosec (log x)] [1-cot (log x)] dx

int (cot x)/(log (sin x))dx=

underset(x to 1)"Lt " (log(1-x))/(cot pi x)=

lim_(x rarr0)(cot x)^((1)/(log x))

int (1+ cot x)/(x+ log sin x)dx

int((x^(2)+1)dx)/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x))) is : (where C is arbitrary constant) (Multiple Correct Type) 1) ln|cot^(-1)(x-(1)/(x))|+C 2) -ln|cot^(-1)(x-(1)/(x))|+C 3) ln|tan^(-1)((1)/(x)-x)|+C 4) -ln|tan^(-1)((1)/(x)-x)|+C