Integration (HSC SSCE Mathematics Advanced): Flashcards
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Practise the cards
10 cards from this deck
Area vs definite integral: key difference
Area vs definite integral: key difference
Area always positive; integral can be positive or negative
Integral sign when curve above -axis
Integral sign when curve above -axis
Positive
Integral sign when curve below -axis
Integral sign when curve below -axis
Negative
Finding area when curve crosses -axis
Finding area when curve crosses -axis
Split at intercepts, add absolute values of separate integrals
Odd function definition:
Odd function definition:
Odd function symmetry type
Odd function symmetry type
180° rotational symmetry about origin
Using symmetry for odd functions to find area
Using symmetry for odd functions to find area
Calculate one region and double it
What does represent?
What does represent?
Signed area between curve and -axis
Three steps for finding areas by integration
Three steps for finding areas by integration
- Sketch 2. Integrate 3. Conclude with square units
When integral is negative, how to get area
When integral is negative, how to get area
Take absolute value