Problem # $12$: Consider the blocks of code below. Match each labelled line of code with the statement that best describes its

purpose.

import numpy as np

import numpy. random as nrand

def integrationA $(f,a,b,n)$ :

$dx=\frac{b-a}{n},$##$(a)$

$x=np.$ linspace $(a,b,n+1),$##$(b)$

$y=f(x),$##$(c)$

return $np*{\displaystyle \underset{?}{\overset{?}{}}}(y[0$:$n])**dx,$##$(d)$

def integration $B(f,a,b,n)$ :

$dx=\frac{b-a}{n}$

$x=np.$ linspace $(a,b,n+1)$

$y=f(x)$

return $np*{\displaystyle \underset{?}{\overset{?}{}}}(y[1$:$n+1])**dx$##$(e)$

def integrationC $(f,a,b,n)$ :

$dx=\frac{b-a}{n}$

$x=a+(b-a)**nrand.$ random $(n),$##$(f)$

$y=f(x),$##$(g)$

return $np*{\displaystyle \underset{?}{\overset{?}{}}}(y)**dx,$##$(h)$