Integration: Negative areas
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...
Category: Incomplete
Tangent graphs
This chapter explores graphs. It covers sketching the tangent graph and solving simple equations such as tan x = 0.2. Before attempting this chapter you must have prior knowledge of basic trigonometry and sine...
Trigonometric Equations 1
This chapter explores trigonometric equations. This is the first part of this part. The chapter covers solving harder trigonometric equations of the type for example 2x = 0.4 or cos (x – π/3) =...
Differentiation Particular Solutions
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...
Sketching Quadratic Graphs 1
This chapter explores sketching quadratics. This is the first part. It covers sketching quadratics of the form f(x) = x2 + bx + c, sketching quadratics of the form f(x) = (x + p)2...
Implicit differentiation
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...
Special Triangles and Identities
This chapter explores special triangles and identities. It covers identities and finding exact values of sine, cosine, and tangent of common angles. Before attempting this chapter you must have prior knowledge of basic trigonometry...
Integration by Parts – Twice
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...
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...
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...