Help with
Numerical Integrationtion
Prof. Richard B. Goldstein
| (x2 + 2x - 1)5/3 |
is Math.pow((x*x+2*x-1),5/3) |
 |
is
Math.sqrt(Math.sin(x)/(Math.pow(2,x)+3*Math.log(x))) |
| calculus formula |
Javascript Function |
lower limit |
upper limit |
value |
| #1 |
 |
3*Math.sqrt(x) |
1 |
4 |
14 |
| #2 |
 |
Math.exp(3*x)*Math.sin(2*x) |
0 |
Math.PI/4 |
2.58862863250748 |
| The formulas and program will work
well for most proper integrals (finite lower and upper limits
and no singularities). However there are always counterexamples
that work poorly. In general, the trapezoid method is least
efficient and the Romberg is most efficient of these four methods.
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Equations:
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