Integral with unexpected result

[lrdheat]

In home, int ((e^x)/(ln x)) from .01 to 1 produces ~58.9

In CAS, [~-23.55 ~-86.48]

The integral should be infinite.

This on hand held version 10077

[lrdheat]

Correction...In home, the result is ~-58.92

[parisse]

It's impossible to get infinity by a numerical method (it would require finding an equivalent at x=1). The CAS displays a big warning in the terminal before returning two values that are not close at all, a clear sign that the values are garbage.

[cyrille de brébisson]

Hello,

In home, the numerical method does seem to converge to a solution

One of the "good" thing about the method used in home is that it never evaluates the function on the 'edges', so it can deal with a function that is not defined there...
but, for fast moving functions, this can lead to weird results.

Cyrille