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 Functions (1)

Solving Hyperbolic Trigonometric Functions (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












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