<p>∫kernel(f,a,b,n) ... Simpson/Romberg Kernel </p>

d4a58b1d-cffe-4a42-8ef4-1f6ff25b1baa 19 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

→

→

Integretor is big symbol ... allows nice → slided above ∫

purely decorative U

∫

→

x f x ∫ u f u 0 x int :

assign U x U x sqrt :

→

Ū function name x Ū x ln :

x Ū x U 2 1 sys

→

x sqrt 100 ∫ 666.66664

Arial 20 slided over U, ∫ →

native Arial x Ū

→

<p>∫kernel(f,a,b,n) ... Simpson/Romberg Kernel </p>

Simpson Integrator in the Romberg Transform Domain [0,1] <= [a,b] ...  
... integrates  Smath ainterp(X,Y,x), cinterp(X,Y,x), cubic(x) from  l_p_c_spline 
Integration accuracy from user command line 'n' f a b n ∫kernel w s b a - (34 / 2 w * 1 - (* 14 / 2 w * 1 - (3^* - 12 / + (* a + : w G w s f 12 w * 1 - (2^- (* : α 0 : β 1 : h β α - n / : 14 mat Simpson 13 / h 2 / α G β G + (* h α k h * + G k 1 n 1 - sum * + (* 23 / h * α h 2 / - k h * + G k 1 n sum * + eval : 32 / b a - (* Simpson * 41 line :

x f x sqrt :

f 01003000 ∫kernel 666.666666666666

∫kernel 3000 666.666666666666

Simpson 10000 666.66664

∠

√

Øregion

plug in utilities top document x ∠ x arg :

x 1 i + 1 i - 0.5 i + 31 mat :

x ∠ vectorize ° 4545 - 63.4349 31 mat

x Clear 1

General companionship
'x' exponentiated x √ x x ln^x 2^x 0.625^31 mat :

x plot x √ 1 el x √ 2 el x √ 3 el 31 sys :

x plot

1 √ 1.000000000000000 1.000000000000000 1.000000000000000 31 mat

x √ 1 el x √ 3 el - x 1 roots x √ 1 el x √ 3 el - x 1.5 roots 21 mat 1 1.8682 21 mat