The mathematical expression above is called an indefinite integral. There is also
a definite integral. The definite
integral* *is like an indefinite
integral* *except two numbers are specified between which to
integrate. An example of a definite integral* *is:

_{}

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The two numbers specified are 1 and 4. To evaluate what this definite integral is equal to, you do the following:

Step 1

Just integrate the function we have been doing – we get
the answer _{}.

Step 2

Evaluate what this answer equals when we substitute the top number in (the 4):

_{}

Step 3

Evaluate what this answer equals when we substitute the bottom number in (1):

_{}

Step 4

Subtract step 3 from step 2:

_{}

Note how the constant of integration cancels out.