x        integrated     bessj3
    2.1400       0.152015     0.152016
    3.4067       0.374321     0.374321
    4.6733       0.410068     0.410067
    5.9400       0.132714     0.132712
    7.2067      -0.211150    -0.211150
    8.4733      -0.265609    -0.265606
    9.7400      -0.005253    -0.005249
   11.0067       0.227857     0.227857
   12.2733       0.152674     0.152668
   13.5400      -0.107472    -0.107477
   14.8067      -0.206084    -0.206080
   16.0733      -0.029528    -0.029518
   17.3400       0.171944     0.171947
   18.6067       0.132634     0.132625
   19.8734      -0.079679    -0.079688