In this article we shall look at how to solve differential equations by using integration. Here you’ll learn how to solve simple first order differential equations by the process called separation of variables. The...
This article continues from a previous article. In this article we shall look at how to use trigonometric identities in integration. Below is a list of trigonometric identities that have been integrated. You should...
This article continues from a previous article. In this article we shall look at numerical integration. It will be useful to remember the trapezium rule for this article. [IMAGE]
In this article we shall explore how to find the gradient of a curve that has been given in parametric form. The important rule to remember when working with curves that have been described...
This section explores using the addition formulae. You need to be able to use the addition formulae. Addition formulae explores trigonometric functions of sums of angles α ± β in terms of functions of...
This page explores factor formulae. The factor formulae can be used to express sums and differences of sines and cosines as products of sines and/or cosines. The factor formulae shown below are derived from...
This chapter explores negative areas. It covers understanding that areas below the x axis are negative, calculating areas under a curve, some or all of which may be under the x axis. Before attempting...
This chapter explores particular solutions to differential equations. The chapter covers finding the particular solution to a first order differential equations by suing given conditions. Before attempting this chapter you must have prior knowledge...
This chapter explores implicit differentiation. The chapter covers differentiating a function defined implicitly; Finding equations of tangents and normals to curves defined implicitly. Before attempting this chapter you must have prior knowledge of basic...
This chapter explores integration by parts twice. The chapter covers using the method of integration by parts twice to integrate much more complex functions, and using standard trigonometric integrals in integration by parts. Before...
