例28 计算下列积分:-|||-(1) (int )_(0)^2dfrac (x)({e)^x+(e)^2-x}dx ;

计算下列定积分。-|||-(int )_(0)^1x(e)^-dfrac ({x^2)(2)}dx

计算下列积分:-|||-(9) (int )_(-e)^-2dfrac (dx)(1+x);-|||-(10) (int )_(0)^dfrac (pi {4)

计算下列定积分.-|||-(int )_(sqrt {2)}^2dfrac (dx)(xsqrt {{x)^2-1}} ;

.(int )_(-2)^2dfrac (x+|x|)(2+{x)^2}dx= __ .

(int )_(-2)^2dfrac (x+|x|)(2+{x)^2}dx=

计算下列定积分。-|||-(int )_(-1)^3|2-x|dx

2.计算下列不定积分：(9)int dfrac (x{e)^arctan x}({(1+{x)^2)}^dfrac (3{2)}}dx.2.计算下列不定积分：(

计算下列不定积分.-|||-int dfrac ({e)^x(1+xln x)}(x)dx

计算下列定积分:-|||-(11) (int )_(dfrac {1)(e)}^e|ln x|dx;

[例3] (int )_(0)^+infty dfrac (x{e)^-x}({(1+{e)^-x)}^2}dx