Evaluate each of the following definite integrals. (Image attached below)

A) ∫^3⌄-1(-x^3 + 3x^2 + 1)dx
B) ∫^1⌄-2(x^4 + x^3 - 4x^2 + 6)dx
C) ∫^2⌄1(2x^2 - 12x + 13)dx
D) ∫^2⌄-3(x^3 - 7x + 6)dx
E) f(x)= x^3 + x^2 - 2x
F) f(x)= -x^3 - 5/2x^2 + 7x + 4