I get the right answer, but...(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{1/2}^{\sqrt 3 /2} {\frac{6}{{\sqrt {1 - t^2 } }}\,dt} [/tex]

[tex] F(x) = 6\,\sin ^{ - 1} x

[/tex]

[tex]

6\sin ^{ - 1} \frac{{\sqrt 3 }}{2} - 6\sin ^{ - 1} \frac{1}{2} = \pi [/tex]

I only know the answer is pi because I plugged it into my calculator and came out with 6.28... - 3.14... = 3.14...

Is there an easier way besides using the calculator to recognize that this equals pi?

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# Another integral

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