设 gt 0, 则 =(int )_(-a)^asqrt ({a)^2-(x)^2}ln dfrac (x+sqrt {1+{x)^2}}(3)dx= __

设 gt 0, 求 (int )_(-a)^asqrt ({a)^2-(x)^2}ln dfrac (x+sqrt {1+{x)^2}}(3)dx,

计算下列积分:(3) int (ln )^2(x+sqrt (1+{x)^2})dx ;计算下列积分:(3);

int dfrac (ln x)({(1+{x)^2)}^3/2}dx; ;

求不定积分int dfrac (1)(2x)sqrt (ln x)dx=（）.int dfrac (1)(2x)sqrt (ln x)dx=int dfrac

设(x)=dfrac (1)(1+{x)^2}+sqrt (1-{x)^2}(int )_(0)^1f(x)dx, 则 (int )_(0)^1f(x)dx=设

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

求下列不定积分int ln (x+sqrt (1+{x)^2})dx求下列不定积分

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

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

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