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this integral was on a test I took recently--any thoughts or ideas on how to attack it?
[tex]
\int_{0}^{1} \frac{x\sin{x}}{1+\cos^2{x}}dx
[/tex]
~matt
[tex]
\int_{0}^{1} \frac{x\sin{x}}{1+\cos^2{x}}dx
[/tex]
~matt
You're right. I should have written it on paper. First sub shows the error. (It works if the x before sine x were cosine x, instead).TheDestroyer said:BobG, You're integration isn't correct, You did 2 opposite partitions in 1 integral, the integration of [tex]arctan(cos(x))[/tex] isn't correct, and it's not possible to be integrated
Free, which is why I've been wondering how good it works. (At least, it has a free download version - Mupad light or some such)dextercioby said:What's Mupad...?
This was on a test? My first impression was that this has to be an easy problem if you just look at it the right way. I keep thinking you definitely want the arctangent, arcosine, or arcsine since your limits of integration are 0 to 1 (they would work out very nicely). But the problem just doesn't work nicely at all. Did the teacher make a typo?msmith12 said:this integral was on a test I took recently--any thoughts or ideas on how to attack it?