Place to Learn.....eStudypk: Integration by the Substitution method(or 'changing the variable')

Published On:Friday, 16 December 2011

Posted by Muhammad Atif Saeed

Integration by the Substitution method(or 'changing the variable')

This is best explained with an example:

Like the Chain Rule simply make one part of the function equal to a variable eg u,v, t etc.

Differentiate the equation with respect to the chosen variable.

Rearrange the substitution equation to make 'dx' the subject.

Substitute for 'dx' into the original expression.

Substitute the chosen variable into the original function.

Integrate with respect to the chosen variable.

Restate the original expression and substitute for t.

NB Don't forget to add the Constant of Integration(C) at the end. Remember this is an indefinite integral.

Example #1

Example #2

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Posted by Muhammad Atif Saeed on 13:00. Filed under Mathandstat . You can follow any responses to this entry through the RSS 2.0. Feel free to leave a response

Integration by the Substitution method(or 'changing the variable')

About the Author

By Muhammad Atif Saeed on 13:00. Filed under Mathandstat . Follow any responses to the RSS 2.0. Leave a response

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