MATM1544_lecture 14.pdf - The image part with relationship ID rId7 was not found in the file MATM1544 LECTURE 14 Revision of Work for the test on 21

MATM1544_lecture 14.pdf - The image part with relationship...

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8/12/2015 1 The image part with relationship ID rId7 was not found in the file. T: +27(0)51 401 9111 | [email protected] | MATM1544 LECTURE 14 Revision of Work for the test on 21 August August 12, 2015 T: 051 401 9111 [email protected] CONTENT Integration by Substitution Integration by trigonometric substitution (sin and tan) Integration by partial fractions Implicit Differentiation Differential Equations Complex numbers Polar form of complex numbers
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8/12/2015 2 T: 051 401 9111 [email protected] INTEGRATION BY SUBSTITUTION Calculate / Bereken ° ± ² ± ³ + 2 ´± µ The answer should be given accurate to at least 3 decimal digits Die antwoord moet akkuraat tot minstens 3 desimale syfers gegee word. T: 051 401 9111 [email protected] INTEGRATION BY SUBSTITUTION Find / Vind · ¸¹º²» ¼½¸» ´± Hint / Wenk: ¾¿À2± = 2¾¿À±Á¾±
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8/12/2015 3 T: 051 401 9111 [email protected] INTEGRATION BY PARTIAL FRACTIONS Find / Vind · ³»Ãµ » Ä ÅµÆ ´± T: 051 401 9111 [email protected] INTEGRATION BY TRIGONOMETRIC SUBSTITUTION
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