6. Let f : [0, 1] R be a Riemann integrable function such that f (x) = | f(t) dt +1, V x € [0, 1]. (a) Prove thatf is differentiable on [0, 1]. (b) Find f(x).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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6. Let f : [0, 1]→R be a Riemann integrable function such that
f(x)% = | f(t) dt +1, V r E [0,1].
0.
(a) Prove that f is differentiable on [0, 1].
(b) Find f(x).
Transcribed Image Text:6. Let f : [0, 1]→R be a Riemann integrable function such that f(x)% = | f(t) dt +1, V r E [0,1]. 0. (a) Prove that f is differentiable on [0, 1]. (b) Find f(x).
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