) ∀ α ∈ ( 0 ; + ∞ ) , ∫ x ^ α d x = (x ^ α + 1) / ( α + 1) + C.

c) \(\forall \alpha  \in (0; + \infty ),\int {{{\rm{x}}^\alpha }} {\rm{dx}} = \frac{{{{\rm{x}}^{\alpha  + 1}}}}{{\alpha  + 1}} + \) C.