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

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

3.证明: (int )_(x)^1dfrac (dt)(1+{t)^2}=(int )_(1)^dfrac (1{x)}dfrac (dt)(1+{t)^2}

3.证明: (int )_(x)^1dfrac (dt)(1+{t)^2}=(int )_(1)^dfrac (1{x)}dfrac (dt)(1+{t)^2}

证明 :(int )_(x)^1dfrac (dt)(1+{t)^2}=(int )_(1)^dfrac (1{x)}dfrac (dt)(1+{t)^2}(x

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

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

设(x)=dfrac ({x)^2}(x-a)(int )_(a)^xf(t)dt, 其中f(x)设(x)=dfrac ({x)^2}(x-a)(int )_(

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

求定积分(int )_(1)^sqrt (3)dfrac (1)({x)^2sqrt (1+{x)^2}}dx求定积分

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