Help with Iterated Integrals: Solving ln(2+y)-ln(1+y) dy [0,1]

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SUMMARY

The discussion centers on solving the integral ∫(ln(2+y) - ln(1+y)) dy from 0 to 1. The user initially struggled with integrating the natural logarithmic functions using integration by parts but later resolved the issue independently. The solution involves recognizing the properties of logarithms and applying appropriate integration techniques. The final result aligns with the output provided by Wolfram Alpha.

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Homework Statement


Here's a screenshot of the solved integral by wolfram: http://puu.sh/4CIzy.png

The Attempt at a Solution



I get stuck about halfway through working through this, with ∫ln(2+y)-ln(1+y) dy [0,1]
My problem is I'm not sure how to integrate ln(2+y) or ln(1+y), since integration by parts doesn't seem to work for either of them, and if I had integrated in terms of y first I'd be left with similar, hard to integrate natural logs for x. Can someone walk me through how to integrate these?
 
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Never mind, figured it out.
 

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