WP 34S integration accuracy

[Thomas Klemm]

(09-02-2015 04:22 PM)ijabbott Wrote:  The exact answer according to my HP 50g is "99*LN(9801)+10*LN(5)-208"

That's strange. Why aren't both limits handled the same way which results in:

198*LN(99)+10*LN(5)-208

Quote:I'm guessing it's the improper nature of the definite integral which is throwing things out of whack.

You could split the integral into 3 parts: [-5, -1], [-1, 1] and [1, 99] and use that \(\int_{-1}^{1}\log(x^2)dx=-4\).
Or then split it into: [-5, -e], [-e, e] and [e, 99] and use that \(\int_{-e}^{e}\log(x^2)dx=0\).
The remaining integrals should be calculated fast then.

Cheers
Thomas