Partial Fractions
This chapter explores partial fractions. The objectives for this chapter are to be able to express a fraction with linear fractions in the denominator as partial fractions and expressing a fraction with repeated linear...
Category: Calculus
Using Partial fractions
This chapter explores partial fractions. The objective for this chapter is to integrate a fraction using partial fractions. Before attempting the chapter you must have prior knowledge of partial fractions, and integrating simple fractions...
Integrating fractions
This chapter explores integrating fractions. It covers recognising integrals of the form; …and integrating fractions using the chain rule backwards. Before attempting this chapter you must have prior knowledge of integrating simple fractions by...
Integration By Parts
This chapter explores integration by parts. You must have prior knowledge of integrating trigonometric functions, ex and lnx and the product rule. Integration by parts helps us to integrate more complicated products such as;
Solids of Revolution
When you take a fraction such as y = f(x) or between two limits on the x-axis and rotate this part of the curve around the x-axis the shape formed will be a 3...
Area Under A Curve
In this article we shall explore how to evaluate the area under the curve between certain limits. This article offers an overview of how the concept works by first explaining straight line graphs before...
Rates of Change
Sometimes we want to know how things change over time or how another quantity is changing while another is changing, for example if the radius is changing over time what is the rate of...
Integration by substitution
One form of integration is the integration by inspection method which I have covered here. It might be best for your benefit to go through that revision before attempting this reading, it might make...
Area between a curve and the y-axis
Before attempting this maths learning it might be a good idea to go through the lesson of finding the area below the curve along the x-axis, because I won’t cover the basics and the...
Differentiation of Logarithmic Functions
You can find derivatives for logarithms functions as well. Here is the first rule that will help you when working with such functions. It will be best to your advantage to be very familiar...