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;
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Mixed Numbers and Improper fractions
This chapter explores mixed numbers and improper fractions. It covers converting improper fractions to mixed numbers, multiplying fractions by whole numbers and adding fractions to make whole numbers. Improper fractions Michael ate thirds of...
Simplifying Algebraic Fractions
This section explores simplifying algebraic fractions; Here we focus on simplifying expressions with fractions by factorising and cancelling, adding, subtracting, multiplying and adding algebraic fractions and lastly solving equations which involve fractions. You must...
Simplifying
This chapter focuses on simplifying expressions. It covers adding together simple lists of letters and numbers including negatives in the list. And lastly multiplying and dividing simple algebraic expressions. Algebra is a very important...
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...
Distance-Time Graphs
This chapter covers distance-time graphs. It explores how to draw and interpret distance-time graphs. Having prior knowledge of gradient of a straight line and speed will be very useful here. What is kinematics Kinematics...
Cancelling Algebraic Fractions
This article explores cancelling algebraic fractions. It covers cancelling down algebraic fractions including brackets. Prior knowledge of factorisation and expanding will be useful in this article When working with fractions you can sometimes divide...
Adding Algebraic Fractions
This section explores adding algebraic fractions. It covers adding algebraic fractions with a single term in the denominator, adding fractions with linear denominators, adding fractions with quadratic denominators which will be quite advanced for...
Rules and Formulae
This chapter explores rules and formulae. It covers using letters to represent unknown numbers, substituting numbers into simple expressions and formulae and understanding basic fomulae. Fomulae contain letters which represent unknown values. The values...