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## Homework Statement

[itex]\int[/itex] [itex]\frac{3x^{2}}{x^{2}-7}[/itex] dx

## Homework Equations

I'm using u-substitution, as stated at the beginning.

## The Attempt at a Solution

I see that the u could be the denominator and the numerator is the derivative, or du.

[itex]\int[/itex] [itex]\frac{du}{u}[/itex]

[itex]\int[/itex] [itex]\frac{1}{u}[/itex] du

ln|u|+C

ln|x[itex]^{2}[/itex]|+C

I'm pretty sure this is the correct answer, but I decided to integrate it with the boundaries x=1 and x=4.5.

[ln|x[itex]^{2}[/itex]-7|][itex]^{4.5}_{1}[/itex]

ln|13.25| - ln|-6|

ln(13.25) - ln(6)

2.5839-1.7917

.7922

So this is my final answer, but it just doesn't seem right. I graphed the function and saw it was under the x-axis. Is this the problem?