Integration_Rules.pdf - 5.3 Definite Integrals and Antiderivatives 1 b a f x dx f x dx a b Reversing the limits changes the sign Reversing the limits

Integration_Rules.pdf - 5.3 Definite Integrals and...

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5.3 Definite Integralsand Antiderivatives
1.  baabfx dxfx dx Reversing the limits changes the sign.
Reversing the limits changes the signThe integral has a value of you can write:302xdx
Page 285 gives rules for working with integrals, the most important of which are:2. 0aafx dxIf the upper and lower limits are equal, then the integral is zero.1.  baabfx dxfx dx Reversing the limits changes the sign.  bbaakfx dxkfx dx3.Constant multiples can be moved outside.
Integral of a Constant Times a Function and a Sum of Several FunctionsIn this example the 5 is a constant and can be pulled in front of the integral sign as it can be multiplied to the answer of C5cosx -sin5sin5dxxdxxdxsinx
1. 0aafx dxIf the upper and lower limits are equal, then the integral is zero.2.  baabfx dxfx dx Reversing the limits changes the sign.  bbaakfx dxkfx dx3.Constant multiples can be moved outside.    bbbaaafxg xdxfx dxg x dx4.Integrals can be added and

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