The Fundamental Theorem of Calculus (HSC SSCE Mathematics Advanced): Flashcards
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Definition of primitive of
Definition of primitive of
; differentiating gives
Fundamental theorem:
Fundamental theorem:
where is primitive of
Primitive of (where )
Primitive of (where )
Why doesn't power rule work when ?
Why doesn't power rule work when ?
Would require division by zero (undefined)
Notation: definite integral with primitive
Notation: definite integral with primitive
Why expand brackets before integrating?
Why expand brackets before integrating?
No product rule for integration
Why split fractions with multiple numerator terms?
Why split fractions with multiple numerator terms?
No quotient rule for integration
Order of operations in
Order of operations in
Substitute upper , then lower , then subtract
Can you integrate across an asymptote?
Can you integrate across an asymptote?
No, cannot integrate where function is undefined
Memory aid for primitive of
Memory aid for primitive of
Increase index by 1, divide by new index