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
设int_(-1)^13f(x)dx=18，int_(-1)^3f(x)dx=4，int_(-1)^3g(x)dx=3。则int_(-1)^3(1)/(5)[4
int_(0)^2(1)/(1+sqrt[3](x))dx;$\int_{0}^{2}\frac{1}{1+\sqrt[3]{x}}dx;$
【例4】已知函数f(x)在[-1,2]上连续，且int_(-1)^0f(x)dx=2，int_(0)^1f(2x)dx=1，则int_(-1)^2f(x)dx=
已知 f(x)在 [1, 4] 可导, f(4)= 1, int_(0)^4 xf(x), dx = 3，则 int_(0)^4 f(x), dx = (
(d)/(dx) int_(1)^x x ln (x^2 + 1) , dx = $\frac{d}{dx} \int_{1}^{x} x \ln (x^2 +
2.(2020山东高数Ⅲ)已知函数f(x)在[-1,2]上连续，且int_(-1)^0f(x)dx=2,int_(0)^1f(2x)dx=1,则int_(-1)
(B)| (x/(1+2)^2 (1+x^2)^2 dx=0.-|||-(C) (int )_(-1)^1dfrac (1)(sin x)dx=0. (D) (
积分 int_(0)^1 xe^2x , dx = ____.A. $\frac{e^2+1}{4}$B. $1$C. $\frac{e^2+1}{2}$D.
定积分 int_(0)^1 (1)/(1 + sqrt(x)) dx = ( )A. $1 - 2\ln 2$B. $2 - \ln 2$C. $2 - 2\l