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by: Daniela Wilkinson


Daniela Wilkinson
GPA 3.59


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Class Notes
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This 2 page Class Notes was uploaded by Daniela Wilkinson on Thursday October 22, 2015. The Class Notes belongs to MATH 1591 at University of Central Arkansas taught by Staff in Fall. Since its upload, it has received 16 views. For similar materials see /class/227200/math-1591-university-of-central-arkansas in Mathematics (M) at University of Central Arkansas.

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Date Created: 10/22/15
MATH 1591 Solution of Review of Chapter 7 Evaluate the following integrals fxx 71 dx fxzz 71 dx2 71 z2 7132 x2 71 2 f2s1n2x dx 7z2cos2xfxcos2x dx 7x2cos2zsin2x7fsin2 dx 72 cos 2x ssian ices 2x 0 Integration by parts twice 1 d1 sin 2zdw 7cos 2zgu 27du 2xdz 2 d1 cos 2zd711 sin 2zgu Ldu dx H D f dx x 2sint97dz 2cos0d0 dgg 025336 73fcsc26d03cot600 4 32 16 1 3416 439 f0 T d b141i r b 3 Use L7Hopital7s Rules to evaluate the limits sin 7 7139 cos 7 7139 cos 7T0 1 1 1m 7 1m 170 s1n 27m 170 27139 cos 27m 27139 cos 2710 2 62m 2621 2 Inn 7 lnn Inn 17100 2 17100 2x 17100 1 OO MATH 1591 Review of Chapter 7 1 Main Topics H Integration techniques 0 Fitting integrands to basic rules on page 485 0 Integration by parts7 Theorem 71 on page 488 0 Guidelines for trigonometric integrals on pages 497 and 500 o Trigonometric substitutions on page 506 0 Partial fractions on page 516 D L7Hopital7s Rules for computation of limits on page 531 C40 De nitions of improper integrals on pages 540 and 543 2 Representative Examples Section 71 Examples 27 47 6 Section 72 Examples 17 27 4 Section 73 Examples 17 27 37 47 57 67 77 8 Section 74 Examples 17 27 4 Section 75 Examples 17 27 37 4 Section 77 Examples 17 27 47 57 67 7 Section 78 Examples 17 47 67 87 9 NamewwH 3 Review Exercises Do the exercises on pages 550 and 551 17 57 77 107 127 137 177 187 207 227 237 257 277 317 337 717 737 757 797 81 Evaluate the following integrals 1 fzx i 1 dx 2 f sin2x dx 3 dx f 712 39 mzx4im2 16 1 4 f0 47 dx Use L7Hopital7s Rules to evaluate the limits sin 7 1 zeO sin 27 62m 2 lim 7 4100 2


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