【题目】-|||-已知 (x)=(int )_(x)^2sqrt (2+{t)^2}dt 则 f'(1)= () .-|||-

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

【例7.16】已知函数f(t)=int_(1)^t^(2)dxint_(sqrt(x))^tsin(x)/(y)dy,则f((pi)/(2))=____.【例7

已知函数F(x)=int_((pi)/(2))^x(sin t)/(t)dt，则一阶导数值F((pi)/(2))=（ ）A. $\frac{2}{\pi}$B.

设f(x)连续，xgt 0，且(int )_(1)^(x^2)f(t)dt=(x)^2(1+x)，则f(2)=(,,,,,)A、4B、2sqrt (2)+12C

[题目]已知 (x)=(x)^2+(int )_(0)^2f(x)dx, 则∫f-|||-(x) = __ .

已知f(x)=(2x)/(sqrt (1-{x)^2)}，则(df(sqrt (1-{x)^2)})/(dx)=(,,,,,)A、-2；B、-dfrac(2x)

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

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

5.已知 (x)=(x)^2+2(int )_(0)^2f(t)dt ,则 f(x)= __-|||-二

[题目]-|||-设f(x)为连续函数,且 (x)=(int )_(dfrac {1)(x)}^ln xf(t)dt, 则F(x)等于 ()-|||-(A) d