Show that the functions sin(nx) and cos(mx), where m, n are inte- gers, belong to the space P.

Consider the two expressions "A)dx = F(b) – F(a) and JA* )dx = F(x) + C. Here: O A. a and bare called the "constants of integration," and Cis referred to as the "integrand." B. a and bare called the "limits of integration," and Cis referred to as the "constant of integration." O C. a and bare called the "limits of integration," and Cis referred to as the "antiderivative constant." D. a and bare called the "integrand," and Cis referred to as the "arbitrary constant." E. a and bare called the "constants of integration," and Cis referred to as the "arbitrary constant."

Please show all work!

Let T be the cube defined by x, y, z € [0, π]. Evaluate (Use syntax like 5*pi^2/3.) JJJ (x + y) sin z dv J₁ (x + y) ) sin z dv.