请教各位这道高等数学积分题,非常感谢!26题

2025-05-09 18:38:51
推荐回答(2个)
回答1:

回答2:

令 x = sint
I = ∫<0, π/2>sintcostdt/{[2-(sint)^2]cost}
= ∫<0, π/2>sintdt/[2-(sint)^2] = -∫<0, π/2>dcost/[1+(cost)^2]
= -[arctan(cost)]<0, π/2> = π/4