uniformly continuous: 1) f(x) = (x*ln(x))/(1+x^(2)) on [0,infinity) 2) f(x) = (x)/(1+sqrt(x)) on [0,1] and [0,infinity) 3) f(x) = (sin^(2)(x))/(1+x) on [0,infinity)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 41E
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uniformly continuous:

1) f(x) = (x*ln(x))/(1+x^(2)) on [0,infinity)

2) f(x) = (x)/(1+sqrt(x)) on [0,1] and [0,infinity)

3) f(x) = (sin^(2)(x))/(1+x) on [0,infinity)

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