how do you integrate x-1/x+1 dx from 0 to 1

PLeaSe HeLp!!!!!!!!!!!!!!!

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- February 22nd 2006, 05:15 PMshevenIntegration
how do you integrate x-1/x+1 dx from 0 to 1

PLeaSe HeLp!!!!!!!!!!!!!!! - February 22nd 2006, 09:36 PMearbothQuote:

Originally Posted by**sheven**

I assume that you want to calculate from 0 to 1.

First do a long division: .

And now you get:

Put in the borders:

Greetings

EB - February 23rd 2006, 11:53 AMTD!
Instead of doing a long division, remember this trick:

- February 23rd 2006, 01:19 PMThePerfectHacker
I have one more method :)

Instead of doing long divison or the trick. You can use substitution,

, then

Thus, by the substitution rule, (note that

Thus,

Thus,

Substitute back,

.

Q.E.D.