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Linear sigma result: ∑r=1nr=\displaystyle \sum_{r=1}^{n}r=r=1∑n​r= [...]\text{[...]}[...].

A

The area under the curve using nnn rectangles.

B

73\boldsymbol{\frac73}37​

C

Linear sigma result: ∑r=1nr=\displaystyle \sum_{r=1}^{n}r=r=1∑n​r= n(n+1)2\boxed{\displaystyle \frac{n(n+1)}{2}}2n(n+1)​​.

D

Both approach the same definite integral as Δx→0\Delta x\to0Δx→0.

Card 1 of 21

1.9.25 Integration as the limit of a sum (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.25 Integration as the limit of a sum (A-level only)

21 flashcards on OCR (MEI) A Level Maths 1.9.25 Integration as the limit of a sum (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

Flashcards