# Math Help - Integration of ln

1. ## Integration of ln

Kindly explain me how to integrate this

2. ## Re: Integration of ln

If you can do this, $\int ln(200-3t)\;dt$, you're done.

Use rules of logarithms to get your expression in this form - plus a bunch of easy pieces.

3. ## Re: Integration of ln

$\ln \left( \frac{140000}{140000-2100t}\right) = \ln (140000) - \ln (140000-2100 t)$

the first is constant the second can be integrate by parts
$\int \ln ( a - bt) dt = t \ln (a-bt) - \int \frac{-bt}{a-bt} dt$

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