Evaluate each of the following integral: `int_a^b(f(x))/(f(x)+f(a+b-x))dx`

Evaluate the following integrals: int_(a)^(b)f(x)dx +int_(b)^(a)f(x)dx

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

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

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

int_a^b[d/dx(f(x))]dx

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

Suppose we define the definite integral using the following formula int_a^b f(x)dx=(b-a)/2 (f(x)+f(b)) , for more accurate result for c in (a,b), F(c)=(c-a)/2 (f(a)+f(c))+(b-c)/2(f(b)+f(c)) and when c=(a+b)/2, int_a^b f(x)dx=(b-a)/4(f(a)+f(b)+2f(c))

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