can someone check if I'm doing this right:

1.) $\displaystyle \frac{d}{dx} \int^{3x+2}_1 \frac{1}{t}dt$

$\displaystyle \frac{d}{dx} ln(3x+2)$

$\displaystyle \frac{1}{3x+2}*3 $

ans: $\displaystyle \frac{3}{3x+2}$

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2.) $\displaystyle \int\big(\frac{d}{dx} lnf(x)\big)dx $

$\displaystyle \int \frac{1}{f(x)}dx $

ans: $\displaystyle lnf(x) + C$