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Program Simpsons
implicit none

real, Parameter :: a=0,b=1
integer :: n_points
integer :: k,i
real :: approx
real :: del_x, height, area, t,x
real :: n_points_1

Write(*,*)'Enter number of points'
Read(*,*)n_points

n_points_1 = real(n_points)

del_x = abs(b-a)/(n_points_1-1.)


approx = 0
t = a

do k=1, n_points-1

x = t + del_x/2
area = del_x/6 * ( 4*functio_n ( x ) + functio_n(t) + functio_n(t+del_x) )
t = t + del_x

approx = approx + area

end do



Write(*,*)approx


Contains
Real Function functio_n(x)
Real, Intent(in) :: x
functio_n=exp(-x)
end function

end program
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