Mathematics - Additional - 0606 CIE

Definite Integrals And Areas

Akopọ

A definite integral evaluates an integral between two limits and gives a number: most usefully, the area under a curve between those limits. It turns the abstract idea of integration into concrete areas and totals.

In this lesson you will evaluate definite integrals and apply integration to the evaluation of plane areas.

Awọn Afojusun

  1. Evaluate definite integrals.
  2. Apply integration to the evaluation of plane areas.

Akọ̀wé Ẹ̀kọ́

The definite integral connects calculus to measurement, giving exact areas under curves that simple geometry cannot reach.

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  1. A definite integral from a to b equals: A. F(a) - F(b) B. F(b) - F(a) C. F(b) + F(a) D. F(b) x F(a) Answer: B
  2. Evaluate the integral of 3x^2 from 0 to 2. A. 4 B. 6 C. 8 D. 12 Answer: C
  3. A definite integral needs a constant of integration: A. yes, always B. no, it cancels C. only sometimes D. only if negative Answer: B
  4. The definite integral of a positive function gives: A. the gradient B. the area under the curve C. the turning point D. the root Answer: B
  5. If part of the curve is below the x-axis, the integral of that part is: A. positive B. negative C. zero D. undefined Answer: B

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Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

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Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

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Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
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