Modelling with Differential Equations Why are differential equations used to model real-world situations? A differential equation is an equation that contains one or more derivatives Derivatives de...
Separation of Variables What is separation of variables? Separation of variables can be used to solve certain types of first order differential equations If the equation is in that form you can use...
First Order Differential Equations What is a differential equation? What is a first order differential equation? A first order differential equation is a differential equation that contains first d...
Adding & Subtracting Volumes When would volumes of revolution need to be added or subtracted? How do I know whether to add or subtract volumes of revolution? How do I solve problems involving a...
Area Between Curve & y-axis What is meant by the area between a curve and the y-axis? How do I find the area between a curve and the y-axis? Exam Tip Worked Example Volumes of Revolution...
Integrating with Partial Fractions What are partial fractions? Partial fractions arise when a quotient is rewritten as the sum of fractions The process is the opposite of adding or subtracting frac...
Integration by Substitution What is integration by substitution? Integration by substitution is used when an integrand where reverse chain rule is either not obvious or is not spotted in the latter...
As with other problems in integration the results in this revision note may have further uses such as evaluating a definite integral finding the constant of integration finding areas under a curve,...
This Revision Note focuses on the results and derivations of results involving the less common trigonometric, exponential and logarithmic functions. As with any function, questions may go on to as...
