`int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=`

int_(0)^(a)(f(x))/(f(x)+f(a-x))dx=

If int_(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))dx=10 , then (a, b) can have the values

If int_(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))dx=4 , then (a, b) can have the values

int _(a) ^(b) f (x) dx =

int_(0)^(a) (f(a+x) + f(a-x) ) dx =

Property 4: If f(x) is a comtinuous function on [a;b] then int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

int_(a)^( Prove that: )(f(x))/(f(x)+f(a+b-x))dx=(b-a)/(2)

If a lt b lt c in R and f (a + b +c - x) = f (x) for all, x then int_(a)^(b) (x(f(x) + f(x + c))dx)/(a + b) is:

STATEMENT-1 : int_(0)^(2)[x+[x+[x]]]dx=3 and STATEMENT-2 : int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx