Properties of Integrals

C = constant, int(fx)dx = integral of f(x), int;b,a(f(x))dx = integral of f(x) within the bounds of a and b where b>a, b is always greater than a, c = number between a and b

int;a,b(f(x))dx

\- int;b,a(f(x))dx

int;a,a(f(x))dx

0

int;b,a(f(x))dx

int;c,a(f(x))dx + int;b,c(f(x))dx

int;b,a(f(x) + g(x))dx

int;b,a(f(x))dx + int;b,a(g(x))dx

int;b,a(Cf(x))dx

C(int;b,a(f(x))dx)

f(x) < g(x)

int;b,a(f(x))dx < int;b,a(g(x))dx

f(x) > g(x)

int;b,a(f(x))dx > int;b,a(g(x))dx

f(x) = g(x)

int;b,a(f(x))dx = int;b,a(g(x))dx