Help with Numerical Integration
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.
Equations

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