I am not going to do the definite integral, rather I will find the anti-derivative and leave you to evaluate them at the endpoints.
In my other post in geometry, I talk about "rigorous" and how important it is to mathemations.
Now, the concepts of differenencials, splitting the dy and the dx as if they are fractions.
Like for example,
dy/dx=y
Then,
(1/y)dy=dx
Is not really acceptable among mathemations because they are not fractions. Thus, I use a more formal approach which does not involve splitting the denominator of the differencial.
I wrote a Calculus thread over here.
http://www.mathhelpforum.com/math-he...utorial-2.html
(The math program that is used to generate math code is math working properly now, thus you might not see everything).
In that thread I explain how I do integration via the substitution rule my way.
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And yes, that is my own techinque.