$[1]$ Your Problem: delta.x

Suppose $n=6,$ then

#delta.x

$a=$

$b=$

$n=$

delta. write the

formula here$\_)$

Constructing the Subintervals:

Indexing out elements from a vector:

$R$ command: vectorname$[$i$]$ where $i=$ number and gives the ith position in the vector Y $[2$:$7]$ will give you all components in vector $Y,$ in the second, third, $...$ positions

Example: If $x=c(9,8,7,6,5,4)$

$x[1]=9$

$x[1$:$5]=9,8,7,6,5$

$x[2$:$6]=8,7,6,5,4$

Next: we need to repeat this

To do this we need to learn how to use a "for loop" in $R>>$

Explanation of R code: "for" loop:for loops let us repeat $($loop$)$ through the elements in a vector and run the same code on each element. We will illustrate with examples

Example $1$: In this example: let j act as a variable and square it: