利用换元积分法和分部积分法计算下列各定积分：[tex=7.429x2.857]yslkH2H1f/DJuhotxH/uoz/7SZsWUa4KSG7WSeR7RhBHTUtxI5a0vrhg6qPugkgeP3TUigMEP5WijS4zJW4yIw==[/tex]；

[color=#000000]下列函数在给定区间上满足罗尔定理的有[/color][color=#000000][/color] 未知类型：{'options': ['[tex=9.857x1.5]YMOr0/1RL0ETTEEaJGvK/eMZWja7+phFjdamswMoy4s=[/tex]', '[tex=13.857x2.786]71FMe7HfNizoSvp2gHGRPTprD23O16UvSDHwpkTCXYm03T/uWjMT3Evxb2H0SsCSitN5jtruNKUYZdHpZsw2IOkoIjBGqpU0dy9UZbAwV2AdHpzURfUlNPuz8+Ch9OCO[/tex]', '[tex=9.643x1.643]UOZ/OFV7KMz5t4s3mI70+ftDsmzZ5i8jK16ivVjeNOSs+X6XSpr+L/+/OaGYQpI1[/tex]', '[tex=8.143x1.429]dfeok/OOo99cwprLSsDw6+03IOjxoumtuY6/AiBe4Po=[/tex]'], 'type': 102}