[" Show that "int_(0)^(4)f(x)g(x)dx=2int_(0)^(4)f(x)dx" ,if "f" and "g" ince defined "asf(x)=f(a-x)],[" and "g(x)+g(a-x)=4]

By using the properties of definite integrals, evaluate the integrals Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f(x)=f(a-x) and g(x)+g(a-x)=4 .

Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f (x) = f (a - x) and g(x) + g(a - x) = 4

Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f (x) = f (a - x) and g(x) + g(a - x) = 4

Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f (x) = f (a - x) and g(x) + g(a - x) = 4

Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx if f and g defined as f(x)=f(a-x) and g(x)quad +g(a-x)=4

Show that int_0^a f(x)g(x)dx = 2 int_0^a f(x)dx , if f and g are defined as f(x) = f(a-x) and g(x) + g(a-x) = 4

Show that int_0^a f(x) g(x) d x=2 int_0^a f(x) d x , if f and g are defined as f(x)=f(a-x) and g(x)+g(a-x)=4

Prove that int_(0)^(a)f(x)g(a-x)dx=int_(0)^(a)g(x)f(a-x)dx .

Show that int0af(x)g(x)dx=2int0af(x)dx if f and g defined as f(x)" "=" "f(a-x) and g(x)" "+g(a-x)=" "4