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  You are here: AS Level Maths > Unit P1 > Integration > Tips & Tricks
  AS Level Mathematics: Unit P1
Integration: Tips & Tricks
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Quick formulae:

1. y = f(x) + C, where C is an arbitrary constant, is called the indefinite integral of = f '(x)
 
2. where a ¹ 0
 
3. ò (u ± v) dx, where u and v are functions of x, is ò u dx ± ò v dx
 
4.

A statement such as = f '(x), , is called a differential equation.
 
5.

The definite integral provided that f' is the derived function of f throughout the interval (a, b)

 

6.

The area of the region bounded by the curve y = f(x), the ordinates x=a and x=b and the x-axis can be found by evaluating the definite integral dx, when it exists.
 
 
 
 
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