$\frac{d}{dx}\int_{\sin x}^{\cos x} \cos(\pi t^2) \, dt = (\quad)$. A. $-\cos(\pi \sin^2 x) - \cos(\pi \cos^2 x)$. B. $\cos(\pi \cos^2 x) - \cos(\pi \sin^2 x)$. C. $(\sin x + \cos x) \cos(\pi \sin^2 x)$. D. $(\sin x - \cos x) \cos(\pi \sin^2 x)$.
【题目】-|||-dfrac (d)(dx)(int )_(sin x)^cos xcos (pi (t)^2)dt .
【题目】-|||-dfrac (d)(dx)(int )_(sin x)^cos xcos (pi (t)^2)dt .
设 M=int_(-(pi)/(2))^(pi)/(2) (sin x)/(1+x^2) cos^4 x dx，N=int_(-(pi)/(2))^(pi)/(
int_(0)^pi/2(cos x+2)dx=( ).A. $\pi+1$B. $\pi$C. 2D. $\pi/2+2$
5.计算下列各导数:-|||-(3) dfrac (d)(dx)(int )_(sin x)^cos xcos (pi (t)^2)dt .
计算定积分：int_(0)^dfrac(pi {2)}(|sin x-cos x|{d)x}．计算定积分：$\int_{0}^{\dfrac{\pi }{2}}
【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
当 x > (pi)/(2) 时，int_((pi)/(2))^x ((sin t)/(t)) , dt = ( )A. $\frac{\sin x}{x}$
int dfrac (cos 2x)(cos x+sin x)dx
int dfrac (sin x-cos x)(sin x+cos x)dx==