If `(tan(ln6)dottan(ln2)dot"tan"(ln3))/(tan(ln6)-tan(ln2)-"tan"(ln3))=k ,` then the value of `k` is________

If (tan(I n6)dottan(I n2)dot"tan"(I n3))/(tan(I n6)-tan(I n2)-"tan"(I n3))=k , then the value of k is________

If (tan(ln6)tan(ln2)tan(ln3))/(tan(ln6)-tan(ln2)-tan(ln3))=k then the value of k is

int(tan(ln x)tan(ln((x)/(2)))tan(ln2))/(x)dx

If int tan^(-1)x dx=xtan^(-1)x+k log(1+x^(2))+C , then the value of k is-

log(tan^(-1)x)

e^(tan^(-1)x)log(tan x)

For theta_(1), theta_(2), ...., theta_(n) in (0, pi/2) , if ln(sec theta_(1)-tan theta_(1))+ "ln" (sec theta_(2)-tan theta_(2))+...... +"ln" (sec theta_(n)-tan theta_(n))+"ln" pi=0 , then the value of cos((sec theta_(1)+ tan theta_(1))(sec theta_(2)+tan theta_(2))....(sec theta_(n)+tan theta_(n))) is equal to

If f(x)=tan^(-1)[(log((e)/(x^(2))))/(log(ex^(2)))]+tan^(-1)[(3+2logx)/(1-6logx)] then the value of f''(x) is

If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 log x)/(1-6 log x)] then the value of f''(x) is