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Q44Section C (Section C)44 of 60

Value of a beta integral

Let

J=1π∫01t−12(1−t)32 dt.J=\frac1\pi\int_0^1t^{-\frac12}(1-t)^{\frac32}\,dt.

Then the value of JJ equals ____________

Numerical answer: type the number (no options).

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