int_(0)^2(1)/(1+sqrt[3](x))dx;

(3) int_(4)^9 sqrt(x)(1+sqrt(x))dx;(3) $\int_{4}^{9} \sqrt{x}(1+\sqrt{x})dx;$

(12) int_(1)^4(dx)/(1+sqrt(x));(12) $\int_{1}^{4}\frac{dx}{1+\sqrt{x}};$

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

不定积分int dfrac (1)(1+sqrt {x)}dx= __ 。（） int dfrac (1)(1+sqrt {x)}dx= __ 。

不定积分int dfrac (1)(1+sqrt {1-x)}dx=( ) int dfrac (1)(1+sqrt {1-x)}dx=int dfrac (

(int )_(1)^2dfrac (dx)(x(1+sqrt {2x))}=( )A.(int )_(1)^2dfrac (dx)(x(1+sqrt {2x

int dfrac (dx)(1+sqrt [3]{x+1)}

求 (int )_(0)^8dfrac (1)(1+sqrt [3]{x)}dx

41)int(dx)/(1+sqrt(1-x^2));41)$\int\frac{dx}{1+\sqrt{1-x^{2}}}$;

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