Question

hey guys hope y"all are well so i have this advance level definite integral question which i have no clue how to slove help , appreciate it :)
https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-xfp1/v/t34.0-12/11909631_821736251278657_492814160_n.jpg?oh=3a6369ebefa89e9e8c6cabd375c6fabc&oe=55DC7BCA&__gda__=1440576288_0b59d00ed7b50754e40cf9942f4f8f3f

Answer 1

\[\Delta x=\frac{b-a}{N}\]
this will be the base length of each rectangle

Answer 2

you will need to find the height formula...
that is the distance from the curve to the x-axis is actually sqrt(x)
the height is sqrt(x)

Answer 3

so starting at left endpoint you would do
x=0
x=0+(b-a)/N
x=0+2(b-a)/N
x=0+3(b-a)/N
...
xi=0+i(b-a)/N
...
where i=0...35
this will give you 36 rectangles

Answer 4

right endpoint you would just use i=1..36 instead

Answer 5

what is 1..36?

Answer 6

oh wait from 1st rectangle to 36th rectangle ?

Answer 7

\[A_\text{ \left endpoint rule }=\lim_{n \rightarrow \infty} \sum_{i=0}^{35} \Delta x \cdot f(a+i \frac{b-a}{N}) \\ A_{\text{ \right endpoint rule }}=\lim_{n \rightarrow \infty} \sum_{i=1}^{36} \Delta x f(a+i \cdot \frac{b-a}{N})\]

Answer 8

thats the answer for a ?

Answer 9

no

Answer 10

it can help you get to the answer though