Question 381509
a) {{{F(x) = int(f(x), dx) = int((x^2 + x + 1), dx) = x^3/3 + x^2/2 + x + C}}}

b) {{{int((x^2 + x + 1), dx, 1, 2) = x^3/3 + x^2/2 + x}}} from 1 to 2

= F(2) - F(1)

= {{{(8/3 + 4/2 + 2) - (1/3 + 1/2 + 1)}}}

= 29/6