How do I integrate a Fractional Trigonometric function in Matlab?

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Sneha Thakur
Sneha Thakur 2018-10-29
编辑： Walter Roberson 2020-10-21
Hi
I want to integrate
ki = k /((2*pi)^(alpha-1)*int(0-2*pi) cos(theta)^alpha*2^(beta-alpha)).
where k=1, alpha =1.35, beta = 2.09.
I have tried the following in matlab:
1.
fun1 = @(theta) (cos(theta)).^alpha*(2).^(beta-alpha);
q1 = integral(fun1,0,2*pi);
d1 = (2*pi)^(alpha-1);
ki = k/(d1*q1);
2.
int(((cos(x))^alpha*2^(beta-alpha),0, 2*pi)
But I am getting incorrect answers, i.e. they do not match with my hand calculations. Am I using the incorrect format in matlab. Or is anyone of this method correct and I might be going wrong with my hand calculations?
Is there something different to use for fractional trignometric integration matlab?
Any help would be appreciated.
Thanks
Sneha
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