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(t), dt，则 varphi(x)= ( ).

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

设f(x)连续, varphi (x)=(int )_(0)^1f(xt)dt, 且 lim _(xarrow 0)dfrac (f(x))(x)=A设f(x)

设varphi (x)为标准正态分布函数,varphi (x)且varphi (x),varphi (x)相互独立。令varphi (x),则由中心极限定理知v

设 l: {x=varphi(t) y=psi(t) [P(varphi(t), psi(t))+ Q(varphi(t), psi(t))] psi(t),

设 f(x, y) 在曲线弧 L 上有定义且连续，L 的参数方程为 {x=varphi(t) y=psi(t) f(varphi(t), psi(t)), dt

给定以下4个命题① 若lim f(x) = a，且lim varphi(x) = 0，则lim [f cdot varphi](x) = a。② 若f(x)在x

[题目]设 (x)=(e)^(x^2), [ varphi (x)] =1-x, 且 varphi (x)geqslant 0, 求-|||-φ(x)及其定义域

设函数f(x)=sin x,f[varphi(x)]=1-x^2,求varphi(x).设函数$f(x)=\sin x,f[\varphi(x)]=1-x^{2

5.已知f(x)二阶可导，且f(x)≠0，varphi(x)=lim_(tto0)((f(x+t))/(f(x)))^(1)/(sin t)，则varphi^p

5.已知f(x)二阶可导，且f(x)≠0，varphi(x)=lim_(tto0)((f(x+t))/(f(x)))^(1)/(sin t)，则varphi^p