Question

A function f is said to be invertible with respect to integration over the interval (a, b) if and only if f is one-to-one and continuous on the interval (a, b), and in addition [r"() de = ["s(e) dr. In the list below, some functions are described either by their rules or by their graphs. Select all the functions which are invertible with respect to integration over the interval (0,1). (A) f(x) = x2 + cos(-x) (D) 2 f(x) = = arccos(x) (B) (E) (0,1) (1,1) (0,1) 1 (1,1) (0,0 (1,0) (0,0) (1,0) (C) y (0,1) (1,1) y (0,1) r (0,0) (1,0) 1,01 (0,0) (1,0)"

Answer 1

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