证明 :(int )_(x)^1dfrac (dt)(1+{t)^2}=(int )_(1)^dfrac (1{x)}dfrac (dt)(1+{t)^2}(xgt 0).

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}

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

lim _(xarrow 0)dfrac (x{int )_(0)^x((e)^2t-1)dt}(ln (1+{x)^3)}。。

求下列极限: lim _(xarrow 0)[ dfrac ({int )_(0)^xsqrt (1+{t)^2}dt}(x)+dfrac ({int )_(0

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

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

(x)=(int )_(0)^(x^2)dfrac (dt)(sqrt {1+{t)^4}}的单调减少区间是________.的单调减少区间是________.

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