Hello, please how can i find the xmax in integral for function ((2-x)/(1-x))^5/2. And holds that xmax = x.

Hello, please how can i find the xmax in integral for function ((2-x)/(1-x))^5/2. And holds that xmax = x. I have data for

x=[0.871 0.928 0.946 0.952 0.958 0.965 0.971 0.971 0.979 0.987 0.992 0.995 0.997];

the right solution is 0.965. But i dont know, how to solve that porblem.

i create :

fun=@(x)((2-x)/(1-x))^(5/2);
q=integral(fun,0,x);

Thank you so much

[Jan]

There is a missing parenthesis in:

fun = @(x) ((2 - x / (1 - x)) ^ 5 / 2;
%                 ^ according to the title

Where do you need the ) ? Is really ^5 / 2 is wanted, or ^(5/2)?

The question is not clear to me. You provide x as a vector, but integral would need the upper limit as a scalar.

[Lenny Guitar]

its (5/2)

and how to edit and rewrite, please?

Answer 1

[Walter Roberson]

x = [0.871 0.928 0.946 0.952 0.958 0.965 0.971 0.971 0.979 0.987 0.992 0.995 0.997];
fun = @(x)((2-x)/(1-x))^(5/2);
q = arrayfun(@(X)integral(fun,0,X),x);

[maxval, maxidx] = max(q);

x(maxidx), maxval