int_(-a)^(a){f(x)-f(-x)}

Property 8: If f(x) is a continuous function defined on [-a;a] then int_(-a)^(a)f(x)dx=int_(0)^(a){f(x)+f(-x)}dx

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

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

If f(x)is integrable function in the interval [-a,a] then show that int_(-a)^(a)f(x)dx=int_(0)^(a)[f(x)+f(-x)]dx.

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

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

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

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

If f(x) is intergrable on [0,a] then int_(0)^(a)(f(x))/(f(x)+f(a-x))dx=