Test4_Practice CALCULUS

# Test4_Practice CALCULUS - – Find deﬁnite integrals by...

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Test 4 Practice Problems 4.9 - Antiderivatives We will always be using the indeﬁnite integral notation instead of the F(x) in this section, but this section is good practice to ﬁnding indeﬁnite integrals; WebAssign Problems 1, 2, 3, 4, 11, 12. Find a function given the ﬁrst or second derivative, and some values: WebAssign Problems 5, 6, 7, 8, 10, 13, 14. 5.1 - Area Under Curves Know the formula and meaning of the Riemann sums, and how it relates to the deﬁnite integral and area under a curve: R n = n X i =1 Δ xf ( x i ) = n X i =1 Δ xf ( a + i · Δ x ), where Δ x = b - a n Area under y = f ( x ) from a to b = Z b a f ( x ) dx = lim n →∞ R n 5.2 - Deﬁnite Integral Be able to go back and forth between limits of Riemann sums and deﬁnite integrals: WebAssign Problems 2, 3, 4. Find deﬁnite integrals given the graph of a function: WebAssign Problems 5, 6.
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Unformatted text preview: – Find deﬁnite integrals by using the area interpretation: WebAssign Problems 7, 8, 15. – Properties of the deﬁnite integral: WebAssign Problems 9, 10, 11, 12, 13, 14. • 5.3 - FTC – FTC Part I - WebAssign Problems 1, 2, 3, 4, 5. – Use FTC Part II to evaluate deﬁnite integrals: WebAssign Problems 5 - 14, 16. – Use FTC Part II to evaluate a limit of Riemann sums: WebAssign Problem 15. • 5.4 - Indeﬁnite Integral – WebAssign Problems 1 - 11. • 5.5 - Substitution Method – WebAssign Problems 1 - 13, 20 (indeﬁnite integrals). – WebAssign Problems 14, 15 16, 18, 19 (deﬁnite integrals). 1...
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## This document was uploaded on 02/11/2012.

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