Hi all. My professor gave us some integrals that Mathematica can't do, and we have to teach Mathematica how to do them. I got the first two, but I'm stuck with the u substitutions for these six. I know that I am supposed to make an attempt at a solution, but I've tried several different u substitutions to no avail. Sorry for the formatting. Any help is appreciated 3.. ∫(x sin x ln(x sin x))/(1-Sqrt[1-Sqrt[x sin x]]) (x cos x + sin x)\[DifferentialD]x 4. ∫(cos x -x sin x) Sqrt[x cos x] Sqrt[1+x^3 cos^3 x]\[DifferentialD]x 5. ∫((1+ln x) Sqrt[1+x ln x])/Sqrt[x ln x] \[DifferentialD]x 6. ∫(1-2/x^3)Sqrt[1-(x+1/x^2)^2]\[DifferentialD]x 7. ∫(1+ln x)Sqrt[1-x^2(ln x)^2]\[DifferentialD]x 8. ∫x^x Sqrt[x ln x](1+ln x)\[DifferentialD]x Note: My professor said that #8 will include a function called Erfi[x]. I have no idea what that is. Again, any help is appreciated.