Mat2691 mathematics ii - Study guides, Class notes & Summaries
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Exam (elaborations)
MAT2691 - Mathematics II EXAM PREP.
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--229February 20222021/2022A+
- 8.8.1 Preparation Paper I (May/June 2010) 
Question 1 
Determine the following integrals: 
1.1 2 2 sin x x dx (2) 
1.2 
2 2 
1 
n x dx (5) 
1.3 2 9 4 
dx 
 x 
 
 (4) 
1.4 
2 27 6 
x dx x x 
 
 
 (7) 
 [18] 
Question 2 
2.1 Determine the root-mean-square value (RMS) of 2 
1 
1 
y 
x 
 
 
 
 between x 0 and x 3 . (8) 
2.2 Calculate the volume of the cone generated by revolving the area 
 between y x 2 , the y -axis and the line y 5 abou...
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Other
MAT 2691 - INTEGRATION: Trigonometric Functions & Hyperbolic Functions
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---6May 20222021/2022
- MAT 2691 - 
INTEGRATION: 
Trigonometric Functions 
& Hyperbolic Functions | Corresponding to each trigonometric (or hyperbolic) differentiation formula is an integration formula. Although these 
are always given in a formula sheet, it will help you a great deal in the exam in terms of saving time if you learn the 
formulas by heart.
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