why is my matlab code doesn't give the right answer

I want to do remain sum form 0 to 3 or sqrt(x+1) from the left with 10 to 100 sub interval,

the graph have to go from small to big but somehow my code go from big to small. please let me know what i did wrong, all the equation are correct

I use the exact way on python and it gave me the graph the graph that I want

hold off
sumvec1 = []
for n = 10:100
    sum = 0;
    width = ((3 - 0)/n) ;
    
    for c = 0:n
        base1 = (width) * c- width ;
        height = sqrt((base1  +1));
        sum = sum + (width * height);
    end
    sumvec1(n-9) = sum; 
end
figure;
i = 1:length(sumvec1) 
scatter(i,sumvec1)

Answer 1

[Sibi]

Try this (edited)

hold off
sumvec1 = [];sum = 0;
for n = 10:100
    width = ((3 - 0)/n) ;
    for c = 0:n
        base1 = (width) * c- width ;
        height = sqrt((base1  +1));
        sum = sum + (width * height);
    end
    sumvec1 =[ sumvec1 sum]; 
end
figure;
i = 1:length(sumvec1); 
scatter(i,sumvec1)

[Khang Nguyen]

sorry. this is what not what the graph should looks like.

[Sibi]

are you looking for a straight line?

[Sibi]

i have edited the code , check now.

[Khang Nguyen]

I am hoping for a graph that looks like a logthirthmic graph. Since the area will get bigget with more interval. It will approach a certain area. The area it's approaching in the intergral from 0 to 3 of the equation. I hole this make sense.

Thank you for follow up and help me,

I appreciate it