∫(0,1) f(x) dx= T就是: 2f(x)=1/(1+x²)+T两边积分: ∫(0,1) 2f(x) dx=∫(0,1)1/(1+x²)+T dx2T= arctanx+Tx |(0,1) 2T=π/4+TT=π/4就是 ∫(0,1) f(x) dx= π/4