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1.True or False. If is positive and differentiable on [a,b],then \(\int_{a}^{b}\frac{f'(x)dx}{f(x)}=ln(\frac{f(b)}{f(a)})\)

Justify your anwser.

 

 

2.If \(\int_{3}^{5}f(x-a)dx=7 \)where a is a constant,then\(\int_{5-a}^{3-a}f(x)dx= \)

 

(A)7+a    (B) 7     (C) 7-a   (D) a-7   (E) -7

 

 

I already done these problems.I jsut want to share this to y'all,so take your times. Thank you!smiley

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 Dec 17, 2015
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use u-substitution to do this. 

 Dec 23, 2015

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