  For an arbitrary infinite-dimensional Banach space $\X$, we construct
examples of strongly-measurable $\X$-valued Pettis integrable functions whose
indefinite Pettis integrals are nowhere weakly differentiable; thus, for these
functions the Lebesgue Differentiation Theorem fails rather spectacularly. We
also relate the degree of nondifferentiability of the indefinite Pettis
integral to the cotype of $\X$, from which it follows that our examples are
reasonably sharp.
  This is an expanded version of a previously posted paper with the same name.
