" If "f(x)=Lt e^(x tan((1)/(n))^(ln((1)/(n))))" then "int(f(x)dx)/(root(3)(sin^(11)x cos x))=

If f(x)=lim_(n rarr oo)e^(tan((1)/(n))log((1)/(n))) and int(f(x))/(((sin^(11)x*cos x))^((1)/(3)))=g(x) then

int_(n)^(n+1)f(x)dx=n^(2)+n then int_(-1)^(1)f(x)dx=

If 2f(x)+f(-x)=(1)/(x)sin(x-(1)/(x)) then the value of int_((1)/(e))^(e)f(x)dx is

int_n^(n+1)f(x) dx=n^2+n then int_(-1)^1 f(x) dx =

Let f(x)=lim_(n rarr oo)(cos x)/((1+tan^(-1)x)^(n)), then int_(0)^(oo)f(x)dx=

If f(x)=(x)/(1+(In x)(ln x)...oo)AA x in[1,oo) then int_(1)^(2e)f(x)dx equals:

If f(x) = lim_(n->oo) tan^(-1) (4n^2(1-cos(x/n))) and g(x) = lim_(n->oo) n^2/2 ln cos(2x/n) then lim_(x->0) (e^(-2g(x)) -e^(f(x)))/(x^6) equals

Evaluate :int_(0)^(1)e^(ln tan(-1)x)*sin^(-1)(cos x)*dx