Question: Show that the following functions (properly defined when necessary) are in L[0, 1]. (a) x ln x/1 + x2, (b) sin x/ln x, (c)

Show that the following functions (properly defined when necessary) are in L[0, 1].
(a) x ln x/1 + x2,
(b) sin π x/ln x,
(c) (ln x)(ln(1 - x)),
(d) In x/√1 - x2.

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