计算下列各导数:-|||-(1) dfrac (d)(dx)(int )_(0)^(x^2)sqrt (1+{t)^2}dt;-|||-(2) dfrac (d)(dx)(int )_({x)^2}^(x^3)dfrac (dt)(sqrt {1+{t)^4}} ;-|||-(3) dfrac (d)(dx)(int )_(sin x)^cos xcos (pi (t)^2)dt.

5.计算下列各导数:-|||-(1) dfrac (d)(dx)(int )_(0)^(x^2)sqrt (1+{t)^2}dt;-|||-(2) dfrac

计算下列各导数：(1) (d)/(dx)int_(0)^x^2sqrt(1+t^2)dt;(2) (d)/(dx)int_(x^2)^x^3(dt)/(sqrt

.计算下列定积分:-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}}

int dfrac ({x)^3}({(1+{x)^2)}^2}dx=A.int dfrac ({x)^3}({(1+{x)^2)}^2}dx=B.int df

分) 设 (x)=(int )_({x)^2}dfrac (t)(sqrt {1+{t)^3}}dt 求 =(int )_(0)^1xF(x)dx

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

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

[题目]-|||-int (dfrac (3)(1+{x)^2}-dfrac (2)(sqrt {1-{x)^2}})dx

5.计算下列各导数:-|||-(3) dfrac (d)(dx)(int )_(sin x)^cos xcos (pi (t)^2)dt .

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