Integration
Maths and statistics discussion, revision, exam and homework help.
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Re: IntegrationDo you have the answer to this?(Original post by haazu)
Can anyone please tell me how to integrate
cos(a(t-b)^2) w.r.t t where a and b are constants
Even wolfram can't integrate it. http://www.wolframalpha.com/input/?i...%29%5E2%29+dx+ -
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Re: IntegrationAre you sure you've got that formula right? That's a very difficult integral to do (I'm not even sure it's possible to do without a computer).
Edit: to the poster above me, It's possible to do using wolfram: manipulate the integral then use wolfram to integrate cos (x^2), which gives you a result in terms of the Fresnel Integral, or just put numbers in instead of a and b and wolfram stops being confused e.g. http://www.wolframalpha.com/input/?i...8x-3%29%5E2%29
But yeah, I'm expecting a typo in the OPLast edited by L-x; 11-07-2012 at 11:25. -
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Re: IntegrationPic from mathcad attached, hope this helps.
You need to put the plus C in yourself, I know, useless isn't it
And unless I am missing something wolfram gives the same
int cos(a*(t-b)^2) w.r.t t = copy and paste and see.Last edited by SubAtomic; 11-07-2012 at 22:21. -
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Re: Integration(Original post by dantheman1261)
I can't seem to see that document - could you include a screenshot image?
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Re: IntegrationAfter trying a few things I can't see a way - the
and 
are tricky to sort out if they're not equal (though someone else may be able to find a way, there might be a contour integral which can sort it out)
Might be best to try some numerical methods if you have the values of the constants?
![\include{bigint} \[ \int \frac{cos(x^2)}{\sqrt{a}} \mathfrac{d} x \]](http://www.thestudentroom.co.uk/latexrender/pictures/16/16b13dcfc56921c2c36b0cbf530e4858.png "\include{bigint} \[ \int \frac{cos(x^2)}{\sqrt{a}} \mathfrac{d} x \]")
