AP Calculus AB Fundamental Theorem of Calculus and Antiderivatives Quiz: 10 Questions with Explanations
This ftc quiz for AP Calculus AB covers fundamental theorem of calculus and antiderivatives (Common Core AP CALC AB 6.4, AP CALC AB 6.5, AP CALC AB 6.6, AP CALC AB 6.7, AP CALC AB 6.8), with a free PDF to print.
Test yourself on accumulation functions, both parts of the Fundamental Theorem of Calculus, basic antiderivatives and initial value problems with 10 multiple-choice questions. Pick one answer for each question, then read the explanation to see why it is right and which common mistake the other choices represent.
AP Calculus AB · Common Core State Standards: AP CALC AB 6.4, AP CALC AB 6.5, AP CALC AB 6.6, AP CALC AB 6.7, AP CALC AB 6.8
Ftc quiz: 10 questions
Remember
- FTC Part 1: d/dx of the integral from a to x of f(t) dt equals f(x).
- FTC Part 2: the integral from a to b of f equals F(b) – F(a) for any antiderivative F.
- For an upper limit g(x), multiply by g′(x) (chain rule).
- Every indefinite integral needs + C; an initial condition determines C.
How to use this ftc quiz
Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.
Download the ftc quiz as a PDF with the button below and keep it with your notes.
Download the ftc quiz as a PDF with the button below and keep it with your notes.
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AP Calculus AB Fundamental Theorem of Calculus and Antiderivatives Quiz: 10 Questions with Explanations
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