by the addition-subtraction method.

Moderator edit:Approved Challenge question.

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- January 14th 2011, 11:48 AMwonderboy1953Solve the following integral:
by the addition-subtraction method.

**Moderator edit:**Approved Challenge question. - January 14th 2011, 12:35 PMdwsmith
Perhaps you can elaborate on this method since a google search on this technique provides nothing useful.

integration addition subtraction method - Google Search - January 14th 2011, 12:45 PMwonderboy1953
- January 14th 2011, 07:33 PMTheCoffeeMachine
I'm sort of confused here. What are you trying to achieve with this integral?

It's an absolute no-brainer. I'm just as confused about this alleged 'method'!

Letting gives:

- January 14th 2011, 07:34 PMdwsmith
- January 15th 2011, 10:26 AMwonderboy1953Please recheck your algebra
A no-brainer for you and a few others perhaps (I could have given a much tougher problem). The A-S method is simpler/more efficient to apply to this type of problem, yet I've never seen it used in any math class nor text.

A simpler method would help avoid algebraic mistakes (btw please recheck your algebra as it needs fixing).

Since the A-S method hasn't been applied, my challenge still stands. You can try again TheCoffeeMachine or maybe someone else out there wants to take a whack at this problem (refer to the third post on this thread).

Since the A-S method hasn't been used to solve this problem, my challenge still stands and if you want to see details about this method, I'll just refer you again to the third post on this thread. - January 15th 2011, 11:11 AMTheCoffeeMachine
- January 15th 2011, 11:21 AMwonderboy1953
- January 15th 2011, 11:34 AMchiph588@
- January 15th 2011, 11:39 AMTheCoffeeMachine
- January 15th 2011, 11:52 AMwonderboy1953Step-by-step explanation
- January 15th 2011, 11:57 AMwonderboy1953Oops
I overlooked the differential so TheCoffeeMachine is right.

- January 18th 2011, 01:48 PMwonderboy1953Hint
For those who may want to see what I have in mind, you can factor the portion into . With the first factor, you can subtract and add 1 to change it into (do you see why?) What would you do with the second factor to go on to complete the problem using the addition-subtraction method?