# Quiz 8

Comments:

• (Section F) When stating the Fundamental Theorem of Calculus, you’d better mention that $F(x)=\int_a^x f(x)dx$ is continuous on $[a,b]$ and differentiable on $(a,b)$. Also many students forgot to write the hypothesis in the theorem that  need to be continuous on $[a,b]$.
• (Section G) The first question is not just a simple application of the Fundamental Theorem of Calculus. Because we are integrating from $0$ to $x^3$.