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]

upasana ghosh , 15 Years ago

Grade 12