Expression 12: "f" left parenthesis, "x" , right parenthesis equals StartFraction, "x" Superscript, alpha minus 1 , Baseline left parenthesis, 1 minus "x" , right parenthesis Superscript, beta minus 1 , Baseline Over StartNestedFraction, left parenthesis, alpha minus 1 , right parenthesis ! left parenthesis, beta minus 1 , right parenthesis ! NestedOver left parenthesis, alpha plus beta minus 1 , right parenthesis ! , EndNestedFraction , EndFraction left brace, 0 less than or equal to "x" less than or equal to 1 , right brace Has graph. To audio trace, press ALT+T.fx=xα−11−xβ−1α−1!β−1!α+β−1!0≤x≤1
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Expression 13: alpha equals 3α=3
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Expression 14: beta equals 1.5β=1.5
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Expression 15: Start integral from 0 to 1, end integral, "f" left parenthesis, "x" , right parenthesis "d" "x"∫10fxdx