Integral Problem

I want to evaluate the integral of this function :

(cos(t^2)*sin(t)^2)^(1/2)

over the period -15*pi:50*pi

I am using these :

f=@(t) (cos(t.^2).*sin(t).^2).^(1/2);

quad(f,-15*pi,50*pi)

But i am getting warning:

Warning: Maximum function count exceeded; singularity likely.

> In quad at 110
In PPEL at 6

ans =

35.8252 +54.5673i

Most likely there is something stupid that i don't know about the theoretical part of the math :)

Answer 1

[Honglei Chen]

The function f is complex valued so this may be tricky. The following page may be helpful

http://www.mathworks.com/company/newsletters/articles/calculating-complex-integrals-using-matlab.html

Answer 2

[Walter Roberson]

cos(t^2) oscillates fairly quickly near 50*pi . You are exceeding the maximum function count because of those fast oscillations.