Expression 3: "f" left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over 1 plus "x" Superscript, "a" , Baseline , EndFraction left brace, 0 less than or equal to "x" , right bracefx=11+xa0≤x
3
Expression 4: "I" Subscript, "a" , Baseline equals Start integral from 0 to "R" , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x"Ia=∫R0fxdx
equals=
1.5 7 0 7 9 6 3 1 3 11.5707963131
4
`\int_0^\infty \frac{1}{1+x^${a}} \approx ${I_a}` left parenthesis, 2 , 3 , right parenthesis2,3
Label:
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Start integral from 0 to infinity , end integral, StartFraction, 1 Over 1 plus "x" squared , EndFraction approximately equal 1.5 7 0 7 9 6 3∫∞011+x2≈1.5707963