1.求函数 varphi (x)=(int )_(0)^xx(e)^-xdx 的极值.

设函数 varphi(x) 连续，且满足 varphi(x)= e^x + int_0^x t varphi(t), dt - x int_0^x varphi

(int )_(0)^1x(e)^xdx= __

[题目]求函数 (x)=(int )_(1)^(x^2)((x)^2-t)(e)^-(t^2)dt 的单调区间与-|||-极值.

6.设函数φ(x)连续，且满足varphi(x)=e^x+int_(0)^xtvarphi(t)dt-xint_(0)^xvarphi(t)dt,求φ(x).6

(int )_(0)^+infty x(2)^-xdx=( )(int )_(0)^+infty x(2)^-xdx=( )(int )_(0)^+inft

求函数 (x)=x(e)^x的单调区间和极值.求函数 的单调区间和极值.

设函数f(x)连续,且满足 (int )_(0)^x(x-t)f(t)dt=x(x-2)(e)^x+2x.-|||-(1)求函数f(x)的表达式;-|||-(2

7.计算下列定积分:-|||-(1) (int )_(0)^1x(e)^-xdx ;-|||-(2)(int )_(1)^xxln xdx;-|||-(3) (

188 int_(0)^+inftysqrt(x)e^-xdx=A. $\sqrt{\pi}.$B. $\pi.$C. $\frac{\sqrt{\pi}}{2

1.求函数(x,y)=4(x-y)-(x)^2-(y)^2-|||-__的极值.1.求函数的极值.