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Question 489

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.

[4]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

787 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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