Question

How do you evaluate the integral `int dx/(x^(20/19))` from 1 to `oo` if it converges?

Answer 1

`19`

Explanation:

`int_1^a dx/(x^(20/19))=19-19/(a^{1/19})`

`lim_{a->oo}int_1^a dx/(x^(20/19))=lim_{a->oo}(19-19/(a^{1/19})) = 19`