定积分∫ from x=0 to 1 [ln(1+x)/1+x^2]dx的计算与推广

Computation and Extension of a Definite Integral ∫ from x=0 to 1 [ln(1+x)/1+x^2]dx

从分析函数的性态入手,讨论了被积函数中含有对数且无法用初等函数表示的一定积分的计算问题,给出了此定积分的多种解法并作了相应的推广.

By analyzing the character of function, a definite integral is discussed that an integrated function contains the logarithmic and it cannot be denoted by elementary function. Several solutions and extension of a definite integral are given.