Fundamental Theorems of Calculus
Questions on the two fundamental theorems of Calculus are presented. These questions have been designed to help you better understand and use these theorems. In order to answer the questions below, you might first need to review these theorems.
Question 1:
then F '(x) = f(x). Answer : True.
Question 2:
Answer : False. Note that the upper limit in the integral above is 3x and not x, hence the integral above has the form F(x) = ∫_{ 2}^{u(x)} f(t) dt Using the chain rule, we can write F '(x) = dF / du * du / dx = 3 sin (3x)
Question 3:
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