Exam 3 Study Guide - Math 0120 Exam#3 Review(Chapter 5 6.1 7.1 7.2 Antiderivatives Indefinite integrals f x)dx = F(x C where F(x is an antiderivative of

# Exam 3 Study Guide - Math 0120 Exam#3 Review(Chapter 5 6.1...

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Math 0120 Exam #3 Review (Chapter 5, 6.1, 7.1, 7.2) Antiderivatives Indefinite integrals: dx ) x ( f = F (x) + C where F(x) is an antiderivative of f(x). Rewrite or expand before integration, if necessary. Know the basic formulas, given in #1 - #4 in the back cover of the text book. Be familiar with examples in which data is given for the evaluation of the constant of integration. These include marginal analysis. Definite integrals and area Riemann sums with a specified number of rectangles to approximate . Areas of triangles, rectangles, trapezoids to evaluate exactly. The Fundamental Theorem of Calculus to evaluate exactly. Definite integrals are real numbers and do not contain “+ C”. Average value of a function on [a,b]: f avg = b a dx ) x ( f a b 1 Area between two curves Interval [a,b] is given. Find the points of intersection within [a,b] Use the points of intersection to divide [a,b] into subintervals
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