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Meepo, Your solution to #1 is incorrect because you forgot that du=cos(x) dx

1) sin^3cos^2=sin(1-cos^2)cos^2= sin*cos^2-sin*cos^4 let u=cos(x) then du=-sin(x)dx so integral is: -int(u^2du)+int(u^4du)=-u^3/3+u^5/5=-cos^3/3+cos^5/5 2) let x=2sin(u) then dex=2cos(u)du then integral is: int(dx/sqrt(4-x^2))=int[2cos(u)du/sqrt(4-4sin^2(u))]...

I just wanted to comment on this statement. You CANNOT go faster than the speed of light. What you are referring to of course is that the person travelling very fast is noticing length contraction in the direction of movement as compared to a map that was made by someone at rest (from the...