On a recent exam I took, these integrals came up and I was unable to answer them correctly:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

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

[/tex]

and

[tex]

\int \frac{2}{\sqrt{1-(x-1)^2}} dx

[/tex]

I had absolutely no idea how to solve those 2 equations and my professor decided not to go over any of the problems from the test. He did mention that I needed to use substitution, but I am still unclear of how to solve them.

Can anyone help me out?

Thanks

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# Integrals on exam I couldn't answer

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