第一题,太烦,机器算了算,如下:
-1/4*1/((1+exp(x))^(1/2)-1)-1/4*1/((1+exp(x))^(1/2)+1)-1/4*ln((1+exp(x))^(1/2)+1)+1/4*ln((1+exp(x))^(1/2)-1)-1/4*1/((1-exp(x))^(1/2)-1)-1/4*1/((1-exp(x))^(1/2)+1)-1/4*ln((1-exp(x))^(1/2)+1)+1/4*ln((1-exp(x))^(1/2)-1)+C;
第二题,更烦,估计只能有数值解了,如"龙贝格算法"等……