ACARA ACMMM131, Fundamental Theorem: evaluating definite integrals
Year 11-12 · Mathematical Methods
Use the rule that the definite integral of f(x) from a to b equals F(b) - F(a), where F is an anti-derivative of f, to evaluate definite integrals.
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Teaching guide
Use the rule that the definite integral of f(x) from a to b equals F(b) - F(a), where F is an anti-derivative of f, to evaluate definite integrals.
Use the Fundamental Theorem: find any antiderivative F, then compute F(b) - F(a). Lay the work out as [F(x)] from a to b and subtract. Keep exact fractions rather than rounding.
Generated and checked in code, so it is correct.
Swapping the limits (F(a) - F(b)), sign slips when the lower limit is negative, and dropping the brackets so only part of F(a) is subtracted.
Math worksheets
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All math worksheets →Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.