Siano F continua e G derivabile in R. Quanto vale D_x ( ₀∫ ^G(x) F ) ?

Se H' = F, ∫_{[0, G(x)]} F = H(G(x))-H(0).
D_x ( H(G(x))-H(0) ) = D_x (H(G(x)) - D_x (H(0)) = H'(G(x))·G'(x) - 0 = F(G(x))·G'(x)