Can you write a code for the following hyperbolic function?

Can someone write a matlab code to solve the following integral? I have give the limits for the Q_0 and also the y_m value for each X_0 that needs to be calculated. I need a single code that provides me the results for each Q_0. Thanks!

[John D'Errico]

What have you tried? If nothing, why not? You are the one who needs to make an effort, as you will never learn otherwise.

[Walter Roberson]

Please read http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

Also: consider using Symbolic Toolbox

[Rajdeep]

I did excute the code, but as you can see the values in the result doesn't match from what I need with respect to y_m. What changes should I make in the code?

Answer 1

[Walter Roberson]

Your sqrt() was ending too early. I made exactly the same mistake when I typed into my own session.

format short g
y_m_vals = [0.1945; 0.3890; 0.5835; 0.7780; 0.9725; 1.1670; 1.3615];
q_0_vals = [2.26; 2.24; 2.19; 2.12; 1.90; 1.48; 0.72];

syms q y_m q_0
f(y_m, q_0) = int(sqrt((q^2/2 + cosh(y_m))^2 - 1), q, 0, q_0)

f(y_m, q_0) = 

x_0 = double([y_m_vals, q_0_vals, f(y_m_vals, q_0_vals)])

x_0 = 7×3

0.1945 2.26 3.332 0.389 2.24 3.4679 0.5835 2.19 3.5985 0.778 2.12 3.7512 0.9725 1.9 3.4948 1.167 1.48 2.7669 1.3615 0.72 1.3827

[Rajdeep]

Thank you so much for correction, I see where I made the mistake.

[Image Analyst]

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