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3.7 Integration (A-level only)

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Question 88

Figure 1 below shows the curve y=e2xy = e^{2x}y=e2x for x>0x > 0x>0. The point P(x,y)P(x, y)P(x,y) lies on the curve, and the rectangle shown shaded has height y y\,y and width δx\delta xδx.

Figure for question 1

Find the exact value of

lim⁡δx→0∑x=25e2x δx\displaystyle\lim_{\delta x \to 0}\sum_{x=2}^{5} e^{2x}\,\delta xδx→0lim​x=2∑5​e2xδx

[4]
Markscheme

3.7 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.7 Integration (A-level only)

221 exam-style questions on WJEC A Level Maths 3.7 Integration (A-level only), covering 3.7.1 Integration (A-level only), 3.7.2 Integration (A-level only), 3.7.3 Integration (A-level only), 3.7.4 Integration (A-level only), 3.7.5 Integration (A-level only), and 3.7.6 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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