python speed up for loop code example

Example 1: optimized for loop in python

#Squaring all numbers in a list
l=[43,23,51,76,98]
map(lambda num:num**2,l)

Example 2: type python fast

def f(double x):
    return x ** 2 - x


def integrate_f(double a, double b, int N):
    cdef int i
    cdef double s, dx
    s = 0
    dx = (b - a) / N
    for i in range(N):
        s += f(a + i * dx)
    return s * dx