9.1 设 (x)=(int )_(0)^sin xsin 2tdt,g(x)=(int )_(0)^2tln (1+t)dt 则当x→0时,f(x )与g(x)相比-|||-是 ()-|||-(A)等价无穷小 (B)同阶但非等价无穷小-|||-(C)高阶无穷小 (D)低阶无穷小

(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

【例】设f(x)=int_(0)^1-cos xsin t^2dt,g(x)=(x^5)/(5)+(x^6)/(6)则当x→0时，f(x)是g(x)的A. 低阶

设函数 f(x)= ^2)(int )_(0)^xtan xdt xlt 0 1 x=0 dfrac (1)({x)^2}(int )_(0)^xsin

(1)已知函数 (x)=(int )_(0)^x(e)^cos xdt g(x)=(int )_(0)^sin x(e)^tdt ,则 ()-|||-( )

已知 f(x) 可导且 F(x)=int_(0)^x^2 f(t) , dt，则 F(x)= ________.例2. 设 p(x)=int_(1)^sin x

求下列极限: lim _(xarrow 0)[ dfrac ({int )_(0)^xsqrt (1+{t)^2}dt}(x)+dfrac ({int )_(0

设f(x)是连续函数,且 (x)=(x)^2+2(int )_(0)^2f(t)dt 则 f(x)=设f(x)是连续函数,且 (x)=(x)^2+2(int )

设f(x)连续,且 (x)=x+2(int )_(0)^1f(t)dt, 则 f(x)= __

设 f(x)= 2x ln (1-x), g(x)= sin^2 x，则当 x to 0 时 f(x) 是 g(x) 的()。A. 等价无穷小.B. 同阶但非等