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Re: MX2 Integration Marathon \int_0^1 \frac{\log(x+1)}{1+x^2} dx

Re: MX2 Integration Marathon \int \frac{\sin^{-1} \sqrt{x} -\cos^{-1} \sqrt{x}}{\sin^{-1} \sqrt{x} +\cos^{-1} \sqrt{x}} dx

I got |cos(theta/2^n)-1| <10^-10 The inequality sign has to switch when you take the inverse cos of both sides, since the function cos x is monotic decreasing when x is increasing on the domain for which the inverse is defined . Hope that helps

Here is another way. Rather than have your number as XY, write it as 10x + y. Then using the second piece of info 10x+y - (10y+x) = 45 9x-9y=45 x-y=5 Since 10x + y is divisible by 8, it is an even number (\therefore y = 2, 4), and must be a multiple of 8. Since 94 \nmid 8 \therefore...