Cavalieri,s Quadrature Formula
المؤلف:
Bradley, D. M
المصدر:
"A Remark on Cavalieri,s Quadrature Formula." Amer. Math. Monthly 110, 437, 2003.
الجزء والصفحة:
...
18-8-2018
2110
Cavalieri's Quadrature Formula
The definite integral
![int_a^bx^ndx=<span style=]() {(b^(n+1)-a^(n+1))/(n+1) for n!=1; ln(b/a) for n=-1, " src="http://mathworld.wolfram.com/images/equations/CavalierisQuadratureFormula/NumberedEquation1.gif" style="height:84px; width:230px" /> |
(1)
|
where 
, 
, and 
are real numbers and 
is the natural logarithm.
REFERENCES:
Bradley, D. M. "A Remark on Cavalieri's Quadrature Formula." Amer. Math. Monthly 110, 437, 2003.
Wildberger, N. J. "A New Proof of Cavalieri's Quadrature Formula." Amer. Math. Monthly 109, 843-845, 2002.
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