If `f(x) and g(x)` are two continuous functions defined on `[-a,a],` then the value of `int_(-a)^a{f(x)+f(-x)}{g(x)-g(-x)}dx` is

If f(x) and g(x) are two continuous functions defined on [-a,a] then the the value of int_(-a)^(a) {f(x)f+(-x) } {g(x)-g(-x)}dx is,

Let f:RtoR and g:R toR be continuous functions. Then the value of int_(-pi//2)^(pi//2)(f(x)+f(-x))(g(x)-g(-x))dx is

Let f : R to R and g : R to R be continuous functions. Then the value of : int_(-pi//2)^(pi//2) [f (x) + f(-x)][g(x) - g(-x)]dx is :

If (d)/(dx)f(x)=g(x) , then the value of int_(a)^(b)f(x)g(x)dx is -

If f(x) and g(x) are continuous functions satisfying f(x) = f(a-x) and g(x) + g(a-x) = 2 , then what is int_(0)^(a) f(x) g(x)dx equal to ?

If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(x)+g(a-x)=2 then int_(0)^(a)f(x)g(x)dx=

Let f: RvecR a n d g: RvecR be continuous function. Then the value of the integral int_(-pi/2)^(pi/2)[f(x)+f(-x)][g(x)-g(-x)] dx is