Topics to be covered
| Youtube links |
4.5 Integration by substitution 1, 3, 5, 7, 10, 14, 16, 22, 25, 67, 69, 70, 71, 73, 75, 77, 79, 81 | https://youtu.be/3eWxzBbsS9o |
7.1 Integration by parts, 1,2,4,8,9,10,13,16,15,17,21,22,23,30,33,36,38,41,44,45
| https://youtu.be/sWSLLO3DS1I https://youtu.be/Yyic5aaXGaw |
7.2 Trigonometric Integrals 1,2,3,6,7,10,11,13,15,19,21,32,22,38,42,43,44,47,48 | https://youtu.be/Eg7AXMr9IQw |
7.2 Trigonometric Integrals 1,2,3,6,7,10,11,13,15,19,21,32,22,38,42,43,44,47,48
| https://youtu.be/tiABi87uLbI https://youtu.be/BtXLwxBygV0 |
7.3 Trigonometric Substitutions 1,2,3,5,6,13,16,18,19,23,24,25,31,32 | https://youtu.be/ocgjfF2AboA |
7.4 Integration of Rational Functions by Partial Fraction 1,6,7,9,12,17,18,25,26,28,29,34,47,48,51,52 Special Substitutions (Rationalizations and half-angle substitutions) 39-46,58-61
| https://youtu.be/6rXByMcuAyI |
https://youtu.be/XvVKZGrNKyI |
7.5 Strategy for integration 1,3,7,8,9,10,18,21,22,23,24,32,35,46,47,49,52,57,62,75. 7.8 Improper Integrals 1,2,3,5,6,7,11,14,26,27,28,31,32,38,39
| https://youtu.be/M5MaGUO0JDs |
https://youtu.be/qv7DM5Ph0vU https://youtu.be/ND9cEdfCFr0 https://youtu.be/4mDJxBIlSLI |
6. 1 Areas between two curves. 1-4,5,6,9,13,14,16,20,23,29 6.2 Volumes 1,2,5,6,7,9,19-30,31,32,41-44,49,50,51,53,56,60,61
| https://youtu.be/K-H86pxiBlk |
https://youtu.be/qMXPnfx2MQM |
https://youtu.be/SAHSVg7Jw_A |
6.3 Volumes by Cylindrical shells 3,4,5,7,8,9,10,13,15,17,21,24,25,29,30,31,37,41 | https://youtu.be/D5sT1br9soI |
8.1 Arc. length 1,2,3,5,6,7,10,11,13,14,18,10,33,35,41 8.2 Area of a surface of revolution. 1,2,4,5,7,10,11,13,15,16
| https://youtu.be/DNDAwWIL5FY |
https://youtu.be/lQM-0Nqs9Pg |
11.1 Sequences 3,5,7,9,10,12,13,15,17,19,27,28,35,36,39,40,41,43,47,51,61,64,66 11.2 Series 3,6,7,11,13,15,16,21,22,29,30,31,35,38,40,41,55
| https://youtu.be/UPvyQV6wZQw https://youtu.be/XdkoTb8PEG0 |
https://youtu.be/zg9N2gAf6a4 https://youtu.be/XVkdhU6nJbo https://youtu.be/x621rtIwb_4 https://youtu.be/0YeON4p0ogw |
11.3 Integral Test. 3,4,5,7,8,9,11,17,21,26,27 11.4 Comparison test and limit comparison test 3,4,5,8,9,13,24,27,29,31,32 11.5 Alternating Series 2,3,4,6,7,11,13,19,20 11.6 Ratio and Root tests and Absolute convergence 2,3,4,7,12,15,18,19,21,22,23,25,27 11.7 Strategy for testing Series. 1,2,5,7,9,11,12,14,15,23,27,32,33,34,35,37
| https://youtu.be/f9SJz4-UaQQ |
https://youtu.be/LBxYQ0TJxYM |
https://youtu.be/DRO1kPT4iS8 https://youtu.be/kkfILYpkJS8 https://youtu.be/ahf0eXOll1M https://youtu.be/FPK6LO1iiXc https://youtu.be/0YeON4p0ogw |
11.8 Power Series. 3,4,6,7,15,19,20,24,25 11.9 Representation of functions as power series. (Differentiation and Integration of power series). 3,4,5,6,8,11,13,14,15,16,23,25,27 11.10 Taylor and Maclaurin series. 1,3,4,5,6,8,11,13,15,19,25,28,29,33,35,47,48,55,56,63,65,67,68
| https://youtu.be/EGni2-m5yxM |
https://youtu.be/54yldObvvwY |
https://youtu.be/LDBnS4c7YbA |
10.3 Polar Coordinates 1,3,5,6,7,8,13,15,16,17,21,22,25,29,30,33,34,38,39,40,42 10.4 Areas in Polar Goordinates. 8,9,10,11,14,17,18,21,23,24,27,28,29,30,31,37,38,41
| https://youtu.be/aSdaT62ndYE |
https://youtu.be/fTBkr27r3pw |
https://youtu.be/GQ6cDvY8K9g https://youtu.be/3RwUIP9pMSo
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