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1.11 H: Integration

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Question 81

The energy gradient of a quantum system is defined by the integral

E=∫(18x8−14x6+54x6)dx E = \int \left( 18x^8 - 14\sqrt[6]{x} + \frac{5}{4x^6} \right) \mathrm{d}x E=∫(18x8−146x​+4x65​)dx

Evaluate the integral to find the general expression for E E\,E in its simplest form.

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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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