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1-- Numerical integration
2import GSL
3
4quad f a b = fst $ integrateQAGS 1E-9 100 f a b
5
6-- A multiple integral can be easily defined using partial application
7quad2 f a b g1 g2 = quad h a b
8 where h x = quad (f x) (g1 x) (g2 x)
9
10volSphere r = 8 * quad2 (\x y -> sqrt (r*r-x*x-y*y))
11 0 r (const 0) (\x->sqrt (r*r-x*x))
12
13main = do
14 print $ quad (\x -> 4/(x^2+1)) 0 1
15 print pi
16 print $ volSphere 2.5
17 print $ 4/3*pi*2.5**3