What you’ll learn3 learning objectivesChoose one objective for a focused lesson, or study the complete topic.2.5.1Extended integration rules• extend the idea of 'reverse differentiation' to include the integration of eax + b, ax b 1 +, sin(ax + b), cos(ax + b) and sec2(ax + b) Knowledge of the general method of integration by substitution is not required.Syllabus objective2.5.2Trig integration• use trigonometrical relationships in carrying out integration e.g. use of double-angle formulae to integrate sin2 x or cos2(2x).Syllabus objective2.5.3Trapezium rule• understand and use the trapezium rule to estimate the value of a definite integral. Including the use of sketching graphs in simple cases to determine whether the trapezium rule gives an over-estimate or an under-estimate.Syllabus objective