Kwazithwala
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INTEGRATION BY SUBSTITUTION
Appreciate when an algebraic substitution is required to determine an integral, Integrate functions that require an algebraic substitution. Determine definite integrals where an algebraic substitution is required
- Exam (elaborations)
- • 6 pages •
Appreciate when an algebraic substitution is required to determine an integral, Integrate functions that require an algebraic substitution. Determine definite integrals where an algebraic substitution is required
PARTIAL DIFFERENTIATION
Determine first-order partial derivatives. Determine second-order partial derivatives. Determine the rates of change of functions having more than one variable
- Exam (elaborations)
- • 5 pages •
Determine first-order partial derivatives. Determine second-order partial derivatives. Determine the rates of change of functions having more than one variable
STANDARD INTEGRATION
Understand that integration is the reverse process of differentiation, Evaluate definite and indefinite integrals using basic integration rules.
- Exam (elaborations)
- • 4 pages •
Understand that integration is the reverse process of differentiation, Evaluate definite and indefinite integrals using basic integration rules.
integration by parts
Appreciate when integration by parts is required. Integrate functions using integration by parts, Evaluate definite integrals using integration by parts.
- Exam (elaborations)
- • 8 pages •
Appreciate when integration by parts is required. Integrate functions using integration by parts, Evaluate definite integrals using integration by parts.
INTEGRALS INVOLVING QUADRATIC EXPRESSIONS
Use the method of completing the square to integrate a function, Integrate functions by forcing the derivative
- Exam (elaborations)
- • 4 pages •
Use the method of completing the square to integrate a function, Integrate functions by forcing the derivative
volume of solids of revolutions
Finding the volume of the solid obtained by rotating the region enclosed by certain formulas
- Exam (elaborations)
- • 6 pages •
Finding the volume of the solid obtained by rotating the region enclosed by certain formulas