integration of ---1) ∫(sin -1 √x - cos -1 √x)dx/ (sin -1 √x + cos -1 √x) 2) ∫√[(a-x)/(x-b)]dx 3) ∫[√(x 2 + 1)[log(x 2 + 1) — 2log x] /x 4 ]dx 4) ∫(log (log x) + 1/(log x) 2 )dx =x[f(x)-g(x)] +c --------f(x)=? and g(x)=? 5) ∫[xlog(x+ √(1 + x 2 )) / √(1+x 2 ) ] dx = A√(1 + x 2 )log(x + √(1 + x 2 )) + Bx + C-------A=? , B=? 6) ∫cos{2tan -1 √[(1-x) /(1+x)]}dx 7) ∫[( ln x-1 ) / (1 + (ln x) 2 )]dx 8) ∫[(x 4 + 1)/( x 6 + 1 )] dx 9) ∫ [x 2 /(x 4 +1)]d[(x-1)/x]

integration of ---1)          ∫(sin^-1√x - cos^-1√x)dx/ (sin^-1 √x + cos^-1√x)

                       2)           ∫√[(a-x)/(x-b)]dx

                       3)          ∫[√(x² + 1)[log(x² + 1) — 2log x] /x⁴]dx

                       4)          ∫(log (log x)  +  1/(log x)² )dx  =x[f(x)-g(x)] +c   --------f(x)=? and  g(x)=?

                       5)          ∫[xlog(x+ √(1 + x²)) / √(1+x²) ] dx   = A√(1 + x²)log(x + √(1 + x²))  + Bx + C-------A=? , B=?

                       6)          ∫cos{2tan^-1√[(1-x) /(1+x)]}dx

                       7)          ∫[( ln x-1 ) / (1 + (ln x)² )]dx

                       8)          ∫[(x⁴ + 1)/( x⁶ + 1 )] dx

                       9)          ∫ [x² /(x⁴+1)]d[(x-1)/x]