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Quiz 8

Comments:

  • (Section F) When stating the Fundamental Theorem of Calculus, you’d better mention that F(x)=∫axf(x)dxF(x)=\int_a^x f(x)dx is continuous on [a,b][a,b] and differentiable on (a,b)(a,b). Also many students forgot to write the hypothesis in the theorem that $$ need to be continuous on [a,b][a,b].
  • (Section G) The first question is not just a simple application of the Fundamental Theorem of Calculus. Because we are integrating from $$ to x3x^3.