Calculus 30
C30.8
Demonstrate understanding of indefinite and definite integration:
- by sight
- by substitution
- as used in the Fundamental Theorem of Calculus.
[C, CN, ME, PS, T, V]
Indicators for this outcome
(a) |
Distinguish between indefinite and definite integration. |
(b) |
Critique the statement, “If a function can be differentiated, then it can be integrated.” |
(c) |
Determine indefinite integrals by sight. |
(d) |
Determine indefinite integrals by substitution. |
(e) |
Apply the Fundamental Theorem of Calculus to evaluate definite integrals by sight and by substitution. |
(f) |
Solve situational questions involving integration. |
(g) |
Critique the statement, “The integral of $f'(x)dx$ equals $f(x)$.” |
(h) |
Develop, explain, and apply strategies for determining the area bounded by:
|
(i) |
Critique the statement, “To integrate any power, we apply in reverse the power rule for differentiation.” |
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