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## Main Question or Discussion Point

Can you please offer any hints or suggestions on how to do these two problems:

1) Find the Maclaurin series of (x^2 + 1)/(3x^2 + 2x - 1).

Should I perform long-division first? I can't seem to find any repeating pattern...

2) Evaluate the integral sqrt(12-4x-x^2) from x=2 to x=6.

I realize this is an improper integral since f(x)<0 for x>2 but I am bamboozled as to how to set up and evaluate it as a limit.

Any help is appreciated in advance...

1) Find the Maclaurin series of (x^2 + 1)/(3x^2 + 2x - 1).

Should I perform long-division first? I can't seem to find any repeating pattern...

2) Evaluate the integral sqrt(12-4x-x^2) from x=2 to x=6.

I realize this is an improper integral since f(x)<0 for x>2 but I am bamboozled as to how to set up and evaluate it as a limit.

Any help is appreciated in advance...