[maths] integrals; calculus
- From: "Ned Granic" <ngranic@xxxxxxx>
- To: <maths@xxxxxxxxxxxxx>
- Date: Wed, 13 Dec 2006 12:23:29 -0700
Hi all,
A couple of very quick questions:
1. Compute the following using the equation as limits of sums from the
definition of the integral.
That equation is:
integral from a to b of f(x) dx
= limit as n approaches infinity of summation (Sigma) from i=1 to n of f(x sub
i) delta x.
The problem itself is:
integral from -1 to 5 of (1+3x) dx.
When I use the FTC2, I get the correct answer 42, but not this way.
2. Use FTC2 to evaluate:
integral from 1 to 64 (1+cube_root x) / sqrt x dx.
I get 32, but the right answer is 256/5.
Many thanks in advance!
Ned
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