设(x)=(int )_(0)^xt(e)^-(t^2)dt，则 A、(x)=(int )_(0)^xt(e)^-(t^2)dt的是单调下降的函数 B、(x)=(int )_(0)^xt(e)^-(t^2)dt是 函数(x)=(int )_(0)^xt(e)^-(t^2)dt 的极小值点，且极小值(x)=(int )_(0)^xt(e)^-(t^2)dtC、(x)=(int )_(0)^xt(e)^-(t^2)dt的是单调上升的函数 D、(x)=(int )_(0)^xt(e)^-(t^2)dt 是 函数(x)=(int )_(0)^xt(e)^-(t^2)dt 的极大值点，且极大值(x)=(int )_(0)^xt(e)^-(t^2)dt

(1) lim _(xarrow 0)dfrac ({({int )_(0)^x(e)^(t^2)dt)}^2}({int )_(0)^xt(e)^2(t^2)

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

[例18] 设f(x)连续,试求下列函数的导数.-|||-(1) (int )_({e)^x}f(t)dt;-|||-(2) (int )_(0)^x(x-t)

(4)已知 (x)=(int )_(1)^x(e)^-(t^2)dt, 则 (int )_(0)^1f(x)dx=

lim _(xarrow 0)dfrac ({int )_(x)^0((e)^t+(e)^-t-2)dt}(1-cos x) ()-|||-__=（）=（）A.

(2)已知函数f(x)=int_(0)^sin xsin t^2dt,g(x)=int_(0)^sin xf(t)dt,则A. f(x)是奇函数,g(x)是奇函

(2)已知函数f(x)=int_(0)^sin xsin t^2dt,g(x)=int_(0)^sin xf(t)dt,则（）A. f(x)是奇函数,g(x)是

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

[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.

lim _(xarrow 0)(int )_(0)^xdfrac (1)({x)^3}((e)^-(t^2)-1)dt= __