evaluate using integration by parts 2 problems

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August 2, 2020
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August 2, 2020

evaluate using integration by parts 2 problems

1. Integral of [ ln (sqrt (x^3+4)) ] dx

I have a decent idea of where to take this probelm (use log properties to bring a 1/2 outside the integrand and use integration by parts with u= ln(sqrt(x^3+4) and dv=dx, but I am confusing myself somewhere during compution)

2. Integral of [ (x^2)(cos(x)) ] dx

I also have a good idea on how to solve this one, since at face value it looks to be a cyclic/repetetive integration by parts but verification would be fantastic!

Help is very appreciated! I attached an image of the problems to help.

 

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