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Rules of Integration

We have been using various rules of integration without enunciating them explicitly. It is well to have them recorded for future reference.

Linear Properties 

 

I. If f , g are continuous functions on [ a , b ] then

The Integral 4.5 Rules of Integration

 

II. If f is a continuous function on [ a , b ] and c is a constant then

The Integral 4.5 Rules of Integration

 

Additivity

 

III. If f is a continuous on [ a , c ] and a < b < c then

The Integral 4.5 Rules of Integration

 

You Try It: Calculate

The Integral 4.5 Rules of Integration

Find practice problems and solutions for these concepts at: The Integral Practice Test.

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