Mr. Vizza's Class

Calculating the Indefinite Integral


Steps

Examples Done by Mr. Vizza

Problems That You Should Practice

Links For Additional Support


Steps

For the given polynomial function the following process is done fore each term:

  1. Make sure that there are no variables in the denominator.
  2. For each term, add 1 to the exponent of the given term.
  3. Divide the term by the new exponent to obtain the new coefficient.
  4. After you have finished integrating all of the terms, simplify them and add the constant "C" to the new function that you have created.

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Examples Done by Mr. Vizza

    Directions: Please calculate the indefinite integral for the following function.

Step 1 Make sure that there are no variables in the denominator. Note:  Because we are dealing with "invisible" exponents  & bases we write them in for this example.  Once you become proficient at this process, you will do it mentally.
 

Step 2 For each term, add one to the given exponent.
 

 
Step 3 Divide the term by the new exponent.
 

 
Step 4 After you have finished integrating all of the terms, simplify them and add the constant "C" to the new function that you have created.
 

 

 

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Problems that You Should Practice

    Directions: Please calculate the indefinite integral for the following functions.

  1.
  2.
  3.
  4.
  5.
  6.
  7.
  8.
  9.
  10.

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Links for Additional Support

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©2004 Thomas Vizza