SOLVE IN PYTHON!!

f$($x$)=$ x$^$cos$($x$^2),$ solve the integral $($from $0$ to $4)$ f$($x$)$ dx$.$

Setup: Let n $=50$ be the number of subintervals in our domain partition. Use np$.$arange$()$ to

define a Python list called Partition that contains n ordered pairs, which represent the endpoints

of intervals in $[0,4]$ with length $4/$n$.$ For example, you should see the following output if you printed

Partition with n $=5$:

$[(0\mathrm{.}0,0\mathrm{.}8),(0\mathrm{.}8,1\mathrm{.}6),(1\mathrm{.}6,2\mathrm{.}4),(2\mathrm{.}4,3\mathrm{.}2),(3\mathrm{.}2,4\mathrm{.}0)]$

Be aware that small roundoff errors may appear when defining the ordered pairs; if this happens,

it is normal and will not cause any problems.

$1.$ Use sp$.$plot$()$ to plot f$($x$)$ in a window with x$-$range $[0,4]$ and y$-$range $[0,4].$