Numerically approximate improper integrals with infinite limits using adaptive truncation.
Evaluates improper integrals (those with infinite limits) by adaptively finding effective bounds where |f(x)| becomes negligible, then applying Simpson's rule on the truncated interval. Use ±9999 to represent ±∞. The calculator reports whether convergence was achieved.
Improper integral
∫[a,∞) f(x)dx ≈ ∫[a,T] f(x)dx where f(T) ≈ 0
Use -9999 for negative infinity and 9999 for positive infinity. The calculator adaptively determines where the function becomes negligible.
If f(x) does not decay fast enough, the calculator will report an approximate result with a warning that the tail may contribute.