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## Homework Statement

FIRST

##\int x^2 \ln x \ dx##

SECOND

##\int \frac{(x+1)^2}{x}dx##

THIRD

##\int \frac{x-2}{x+3}dx##

## Homework Equations

N/A

## The Attempt at a Solution

I tried using the integration by part method but it doesn't work.

For the FIRST problem:

Setting ##u=x^2## or ##u=\ln x## is not solving the problem.

For the SECOND problem:

Setting ##u=x+1## or ##u=x## is not solving the problem.

For the THIRD problem:

Setting ##u=x-2## or ##u=x+3## is not solving the problem.

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