two very cool questions-calculus-differential equations

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!