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1.11 H: Integration

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Question 248

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

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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