Question

Evaluate the definite integral

1. Integral of dx / fourth root of 1+x
upper: infinity
lower: 0

Answer 1

$\intop_0^\infty1/(1+x)^{1/4}dx$

$=[(4/3)*(1+x)^{3/4}]_0^\infty$

$=4/3*(lim_{x \to \infty}(1+x)^{3/4}-1)$

$=DNE$

as the limit does not exist.