Integration+by+U-substitution

Steps to Solve:

 * 1) Choose which value will be defined as "u".
 * 2) Derive "u" to "du" in terms of x.
 * 3) Substitute "u" and "du" into the original equation. Add constants if necessary for "du". (Don't forget to balance it.)
 * 4) Integrate your new integral.
 * 5) Substitute back in for you "u" and "du" values.
 * 6) Don't forget to add +C at the end!

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__With Limits:__
If the problem has given limits of integration, you must change the limits when you integrate to make them in terms of "u". For example:



//let u// = //x//2 + 1 and //du// = 2//x// //dx// //You subsitute for u and du as normal, and then plug the limits of integration (in this case 2 and 0) into the "u" value or equation to put them in terms of "u". In this case we plug them into x2 + 1 and get u=5 and u=1. You then plug these in as your limits of integration and solve as normal.//



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