A Level Maths Notes: FP2
Finding Lengths of Curves
Differentiating Inverse Trigonometric Functions
Reduction Formulae
The Exponential Trigonometric Functions
Conic Sections – Ellipses, Parabolae, Hyperbolae, Circles
Proving Double Angle Hyperbolic Trigonometric Formulae
Integrating Reciprocals of Square Roots of Quadratic Functions
Calculation of Curvature - Examples
The Derivation of the Curvature Formulae
Eccentricity
The Ellipse
Expressingin the Form or
Hyperbolae
Solving Hyperbolic Trigonometric Equations (1)
Solving Hyperbolic Trigonometric Equations (2)
Surfaces of Revolution
Finding Equations of Asymptotes
The Parabola
Finding the Intrinsic Equation of a Curve from the Curvature or the Radius of Curvature
Inequalities Involving Integrals and Series
Integrating Expressions Involving Reciprocals Trigonometric Functions Using the Substitution
Integration in Polar Coordinates
Inverting the Hyperbolic Trigonometric Functions
Maclaurin Series
Summary of the Rules for Separating Into Partial Fractions
Integrating Inverse Hyperbolic Trigonometric Functions
Proving Multiple Angle Formulae for Hyperbolic Trigonometric Formulae
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