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)dxEvaluate the integral to find the general expression for E E\,E in its simplest form.
80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.