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Inside function, derivative on outside Substitution Product of two functions Integration by Parts

Inside function, derivative on outside Substitution Product of two functions Integration by Parts Powers of trig functions Trig Integration Sum or difference of squares Trig Substitution Rational Functions Partial Fractions. p. 546: 1, 3, 5, 7, 11, 12, 13, 15. Ex.

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Inside function, derivative on outside Substitution Product of two functions Integration by Parts

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  1. Inside function, derivative on outside • Substitution • Product of two functions • Integration by Parts • Powers of trig functions • Trig Integration • Sum or difference of squares • Trig Substitution • Rational Functions • Partial Fractions

  2. p. 546: 1, 3, 5, 7, 11, 12, 13, 15

  3. Ex. Thm. Fundamental Theorem of Calculus If f (x) is a continuous function on [a,b], and if F(x) = f (x), then

  4. Improper Integrals • An improper integral is one where an endpoint is infinite or where there is a vertical asymptote on the interval. • To evaluate these, we must change these problems to limits. • If the limit exists, we say that the integral converges. Otherwise, it diverges.

  5. Ex.

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  11. Ex.

  12. p. 574: 5, 8, 11, 28, 30

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