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Integrating standard functions
Integrating f(ax + b)
Integration with trigonometric identities
Reverse chain rule
Integration by substitution
Integration by parts
Integration using partial fractions
Finding areas using integration
The trapezium rule
Solving differential equations
Modelling with differential equations
Differentiating sin x and cos x
Differentiating exponentials and logarithmic functions
The chain rule
The product rule
The quotient rule
Differentiating inverse functions
Differentiating trigonometric functions
Parametric differentiation
Implicit differentiation
Second derivatives: Concave and convex functions
Connected rates of change
You can use the small angle approximations when the angle is small and in radians.
Small angle approximations involve approximating the values of sin(x), cos(x) or tan(x) to a linear or quadratic expression when the value of x is small.
Small angle approximations are useful as they remove the need for any trigonometric functions and can therefore simplify complex calculations.
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