Question

estimate the area of the integral arcsin(u^6)du from 1 to 0

Answer 1

what method?
i would do this, if i only needed an estimate
http://www.wolframalpha.com/input/?i=integral+0+to+1+arcsin%28x^6%29

Answer 2

So the integral is:
\[\int^1_0{sin^{-1}(u^6)}du\]
Correct?

Answer 3

Apparently, the integral is not expressed as a elementary function:
http://www.wolframalpha.com/input/?i=integral+arcsin%28x%5E6%29

Answer 4

You can always use numerical integration such as Boole's, Weddle's, Hardy's or Anyother numerical integral estimation methods.