Learning Objective 3.3B

Learning Objective 3.3B(a) Students will be able to calculate antiderivatives and (b) evaluate definite integrals.

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Essential Knowledge 3.3B1 Students will know that the function defined by , is an antiderivative of f.

Essential Knowledge 3.3B2 Students will know that if f is continuous on the interval [a, b] and F is an antiderivative of f, then

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Essential Knowledge 3.3B3 Students will know that the notation means that F'(x) = f(x), and is called an indefinite integral of the function f.

Essential Knowledge 3.3B4 Students will know that many functions do not have closed form antiderivatives.

Essential Knowledge 3.3B5 Techniques for finding antiderivatives include algebraic manipulation (such as long division and completing the square) and substitution of variables.