如何求定积分从1到2 x^-3dx

2024-12-16 12:50:05
推荐回答(2个)
回答1:

∫(1->2) x^-3 dx,基本公式:∫ x^n dx = x^(n+1) / (n+1) + C,(n,C都是任意常数)
= x^(-3+1) / (-3+1):(1->2)
= x^-2 / -2:(1->2)
= -1/(2x²):(1->2)
= -1/(2*2²) - [-1/(2*1)]
= -1/8 + 1/2
= 3/8

回答2:

另f(x)=-1/2(x^-2)则定积分为f(2)-f(1)