# MATH1014TutorialNotes(ZetaMa).pdf - MATH1014 Tutorial Notes...

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Chapter 2 / Exercise 34
Physics for Scientists and Engineers
Jewett/Serway
Expert Verified
P. 1 MATH1014 Tutorial Notes Instructional Assistant: Mr Zeta CHAN Web Page: Office: Room 3012 (through Math Support Center (Room 3010)) (via lift 2/lift 3) E-mail Address: Office Hours: refer to the web page Table of Contents Integration by Substitution ……………………………………………………………………P. 2 Area between Curves …………………………………………………………………………P. 3 Disk Method ……………………………………………………………………………………P. 4 General Slicing Method …………………………………………………………………………P. 4 Shell Method ……………………………………………………………………………………P. 5 Work …………………………………………………………………………………………P. 7 Average Value of a Function ……………………………………………………………………P. 8 Arc Length ……………………………………………………………………………………P. 9 Area of Surface of Revolution ………………………………………………………………P. 10 Integration by Parts ………………………………………………………………………………P. 12 Trigonometric Integrals …………………………………………………………………………P. 15 Trigonometric Substitution ……………………………………………………………………P. 16 Polar Coordinates and Calculus ………………………………………………………………P. 17 Partial Fractions ………………………………………………………………………………P. 19 Numerical Integration …………………………………………………………………………P. 21 Improper Integrals ………………………………………………………………………………P. 23 Sequences ……………………………………………………………………………………P. 25 Infinite Series ……………………………………………………………………………………P. 27 Power Series ……………………………………………………………………………………P. 34 Taylor and Maclaurin Series ……………………………………………………………………P. 35
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Chapter 2 / Exercise 34
Physics for Scientists and Engineers
Jewett/Serway
Expert Verified
P. 2 Integration by Substitution Integration by Substitution: dududydxdxdududy