
求一个不定积分的题目,谢谢
1个回答
展开全部
设 x = (sint)^2 = [1 - cos2t]/2,则 dx = 2sint*cost*dt,t = 1/2*arccos(1-2x)
∫dx/√[(1-x)*x]
=∫2sint*cost*dt/(sint*cost)
=∫2*dt
=2*t + C
=arccos(1-2x) + C
∫dx/√[(1-x)*x]
=∫2sint*cost*dt/(sint*cost)
=∫2*dt
=2*t + C
=arccos(1-2x) + C
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询