Re: Calculus (Substitution)...
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Re: Calculus (Substitution)...
On Thu, 12 Nov 1998, Bill Risher wrote:
> At 09:48 PM 11/12/98 -0500, Thomas J. Hruska wrote:
> >Help! I have an integral that I can't work either forward or backward.
> >
> >Here is the problem (S = integral sign):
> >
> >S (e^x - 3)^(1/2) dx
> >
> >
> >The problem states that I have to use substitution, so:
> >
Try:
u^2 = e^x - 3
Now:
2 u du = e^x dx
and we get the problem to be
s u * 2u/(u^2+3)*du.
Take the 2 out front, collect/simplify, do long division, hope to get an
inverse tangent form anti derivative.
References: