[" Question "65:" If "f(a+b+1-x)=f(x)," for all "x," where a and "b" are fixed positive real "],[" numbers,then "(1)/(a+b)int x(f(x)+f(x+1))dx" is equal to "]

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :

Evaluation of definite integrals by subsitiution and properties of its : If f(a+b+1-x)=f(x)AAx where a and b are fixed positive real numbers, then (1)/(a+b)int_(a)^(b)x(f(x)+f(x+1)dx= is equal to

If f(a+b-x)=f(x) , then int_(a)^(b) x f(x)dx is equal to -

If f(6-x)=f(x), for all x, then 1/5 int_2^3 x[f(x)+f(x+1)]dx is equal to :

If f(a+b-x) =f(x) , then int_(a)^(b) x f(x) dx is equal to

Given f(x)=ax+b and f(f(f(x)))=27x+13 where a and b are real numbers then