x_i

u_i using Romberg R_5,2

Exact value of u(x_i)

Absolute error

0.0625

−0.939313

−0.93746

0.125

−0.877167

−0.874684

0.1875

−0.816836

−0.811451

0.25

−0.752159

−0.74755

0.3125

−0.691295

−0.682786

0.375

−0.623507

−0.616973

0.4375

−0.561194

−0.549936

0.5

−0.489657

−0.481509

0.5625

−0.425194

−0.411536

0.625

−0.349485

−0.339866

0.6875

−0.282077

−0.266357

0.75

−0.201611

−0.190869

0.8125

−0.130719

−0.11327

0.875

−0.0451471

−0.0334261

0.9375

−0.0299532

−0.0487906

1

−0.121113

−0.13351