If f(x)=limn→∞extan(1/n)ln(1/n) and ∫f(x)3√sin11xcosxdx=g(x)+C, then
Suppose f(x) and g(x) are two continuous functions defined for 0≤x≤1. Given f(x)=∫10ex+t.f(t) dt and g(x)=∫10ex+t.g(t) dt+x. The value of g(0)-f(0) equals