Question $1[15$ marks$]$

Use the following code to guide you. The example code below is of calculating the integral for the following function ${\displaystyle \underset{0}{\overset{1}{}}}3t^2{e}^{t^3}dt.$ Note the code below the comment run code is to be executed in the terminal or written in a script. It should be in the function file.Calculate the integral of the following functions.Write one script that contains all three equations. Please write the function in a different file

${\displaystyle \underset{1\mathrm{.}2}{\overset{4}{}}}(6x-4)dx$ where $n$ is $2$ and $100$

$[5$ marks$]$

${\displaystyle \underset{0}{\overset{}{}}}sin(x)dx$ where $n$ is $2$

$[5$ marks$]$

${\displaystyle \underset{0}{\overset{4}{}}}\sqrt[\phantom{2}]{4}dx$

$[5$ marks$]$