(int )_(-1)^1((x+sqrt {1-{x)^2})}^2dx=

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

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

例24 int dfrac (dx)(x+sqrt {1-{x)^2}}

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

(6) () =dfrac (1)(sqrt {1-{x)^2}} int dfrac (1)(sqrt {1-{x)^2}}dx=() .

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

求下列不定积分(其中a、b、w、φ均为常数):-|||-(41) int dfrac (dx)(1+sqrt {1-{x)^2}}-|||-(42) int d

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

(15) int dfrac ({x)^2}(sqrt {1-{x)^2}}dx

[题目] int dfrac (x)(sqrt {1-{x)^2}}dx