谈分部积分法中u(x)和v′(x)的选择

On Option Between u(x) And v′(x) in Partial Integral Calculus

不定积分中的分部积分法是教学中的重点和难点 ,其中u(x)、v′(x)正确选择是关键 .“指三幂对反 ,谁在后边谁为u(x)”这一口诀的运用 ,易于选择、便于记忆、有利于掌握分部积分法的解题要领 ,大大提高学生解决不定积分问题的能力 .

Partial integral calculus is the focal and difficult point in the teaching of indefinite integral, during which the option of u(x) or v′(x) is the key procedure. The pithy formula which goes:among exponential function, trigonometric function, power function, logarithmic function and arc-trigonometric function, the latter one is u(x). This pithy formula is helpful in choosing and memorizing' as well as in mastering the key point in solving the problems in partial integral calculus, hence improving the students ability to solve problems in partial integral calculus.