下列不等式不成立的是( ).A.(int )_(0)^1xdxgt (int )_(0)^1ln (1+x)dxB.(int )_(0)^1xdxgt (int )_(0)^1ln (1+x)dxC.(int )_(0)^1xdxgt (int )_(0)^1ln (1+x)dxD.(int )_(0)^1xdxgt (int )_(0)^1ln (1+x)dx

计算下列定积分：(int )_(0)^1ln (x+1)dx.计算下列定积分：.

2.计算定积分int_(0)^1ln(1+sqrt(x))dx.2.计算定积分$\int_{0}^{1}\ln(1+\sqrt{x})dx$.

用拉格朗日中值定理证明不等式：(x)/(1+x)＜ln（1+x）＜x（x＞0）．用拉格朗日中值定理证明不等式：$\frac{x}{1+x}$＜ln（1+x）＜x

计算极限：lim _(xarrow 0)[ dfrac ({{int )_(0)}^x(e)^-tcos tdt}({ln )^2(1+x)}-dfrac (1

[题目]计算不定积分 int ln (1+sqrt (dfrac {1+x)(x)})dx(xgt 0).

求极限lim _(xarrow 0)dfrac ({int )_(0)^xcos (t)^2dt}(ln (1+x))求极限

1.以下各积分不属于反常积分的是 () .-|||-(A) (int )_(0)^+infty ln (1+x)dx (B) (int )_(0)^1dfrac

(4) (int )_(0)^+infty dfrac (dx)((1+x)(1+{x)^2)}

积分 (int )_(-1)^edfrac (1)(x)dx=ln e-ln |-1|=1 (int )_(-1)^edfrac (1)(x)dx=ln e-l

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