Plot both the function f$(),$ and its integral

R

f$($x$)$ dx $($as area under the curve$)$ on the same plot for each

of the following functions $($take $8<=$ x $<=8)$:

$1.$ f$($x$)=2$

$2.$ f$($x$)=2$x $+1$

$3.$ f$($x$)=2$x

$2+$ x

$4.$ f$($x$)=$ x

n $+$ n for n $=3$

$5.$ f$($x$)=2$

x

$6.$ f$($x$)=$ e

x$+1$

$7.$ f$($x$)=3$x

$8.$ f$($x$)=$ log $($x $+1)$

$9.$ f$($x$)=$ sin$($x $+\backslash$pi $/6)$

$10.$ f$($x$)=($e

x $$ e

$$x

$)/2$

Color curves for f in green and $$rectangles$$ in red, values

for f$($x $=1)$ and f

$$

$($x $=1)$ in black. can i get it with python code as well