10 若 f(x)= int_(0)^2xf((t)/(2))dt+4, 则 int_(0)^pi f(x) sin xdx= ___.

(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

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10】已知f(x)连续，int_(0)^xtf(x-t)dt=1-cos x，求int_(0)^(pi)/(2)f(x)dx的值.【例10】已知f(x)连续

(4)int_((pi)/(4))^(pi)/(3)(x)/(sin^2)xdx;(4)$\int_{\frac{\pi}{4}}^{\frac{\pi}{3}

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.

设函数 f(x) 连续，则 (d)/(dx) int_(0)^x t f(x^2-t^2)dt = ( )A. $xf\left(x^{2}\right)$.B

已知 f(x)在 [1, 4] 可导, f(4)= 1, int_(0)^4 xf(x), dx = 3，则 int_(0)^4 f(x), dx = (

int_(0)^1f^2(x)dxleqslantint_(0)^1xdxcdotint_(0)^1f^prime(}^2(t)dt=(1)/(2)int_{0

当 x > (pi)/(2) 时，int_((pi)/(2))^x ((sin t)/(t)) , dt = ( )A. $\frac{\sin x}{x}$