Question: Suppose that f and g are differentiable on [0, e] and that f' and g' are integrable on [0, e]. a) If e1 f(x)/xdx b)
a) If ˆ«e1 f(x)/xdx
![Suppose that f and g are differentiable on [0, e]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images10/741-M-N-A-D-I(334)-1.png)
b)
![Suppose that f and g are differentiable on [0, e]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images10/741-M-N-A-D-I(334)-2.png)
c) If 0 ˆˆ {f(0), g(0)} ˆ© {f(e), g(e)} prove that
![Suppose that f and g are differentiable on [0, e]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images10/741-M-N-A-D-I(334)-3.png)
f (a) log x dx 0. e* (f (x) + f, (x)) dx = 0. 0 f(x)g,(x) dx=-1 g(x)f'(x) dx.
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