(m+2)÷(3m+㎡-1)的积分

(m+2)÷(3m+㎡-1)的积分
2025-06-27 03:22:36
推荐回答(1个)
回答1:

用换元法求解: 设(1+㎡)÷m=Y, 于是原方程化为2Y-12/Y=5, 2Y^2-5Y-12=0, (2Y+3)(Y-4)=0, Y=-3/2或Y=4, ①当Y=-3/2,即(1+㎡)÷m=-3/2, 2+m^2=-3m, m^2+3m+2=0 , (m+1)(m+2)=0, m1=-1 , m2=-2, ②Y=4,即(1+㎡)÷m=4, m^2-4m=-1, (m-2)^2=3 ,