设u = √x,x = u²,dx = 2u du
∫ ƒ'(√x) dx
= ∫ ƒ'(u) * 2u du
= 2∫ u dƒ(u)
= 2uƒ(u) - 2∫ ƒ(u) du
= 2uƒ(u) - 2F(u) - C
= 2√xƒ(√x) - 2F(√x) + C₂,C₂ = - C
设u = √x,x = u²,dx = 2u du
∫ ƒ'(√x) dx
= ∫ ƒ'(u) * 2u du
= 2∫ u dƒ(u)
= 2uƒ(u) - 2∫ ƒ(u) du
= 2uƒ(u) - 2F(u) - C
= 2√xƒ(√x) - 2F(√x) + C₂,C₂ = - C