13.计算int x^2sqrt(1+x^2)dx.

(int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}};

(8)(int )_(1)^2sqrt (2x-{x)^2}dx=__________________.(8)__________________.

2.计算下列定积分.-|||-(3) (int )_(-2)^2((x)^2sqrt (4-{x)^2}+x(cos )^5x)dx.

计算不定积分int dfrac (1)({x)^2sqrt ({x)^2+1}}dx。计算不定积分。

(16) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}};

(8) (int )_(0)^1(x)^2sqrt (1-{x)^2}dx :

(9) int dfrac (1)({x)^2sqrt (1+{x)^2}}dx

.int dfrac (sqrt {1+{x)^2}+sqrt (1-{x)^2}}(sqrt {1-{x)^4}}dx.

求int dfrac ({ln )^2sqrt (x)}(sqrt {x)}dx求

(5)int ln^2(x+sqrt(1+x^2))dx;(5)$\int ln^{2}(x+\sqrt{1+x^{2}})dx;$