The energy gradient of a quantum system is defined by the integral
E=∫(18x8−14x6+54x6)dxE = \int \left( 18x^8 - 14\sqrt[6]{x} + \frac{5}{4x^6} \right) \mathrm{d}xE=∫(18x8−146x+4x65)dx
Evaluate the integral to find the general expression for E E\,E in its simplest form.
Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.