设fx在[a,a+1)连续,则lim(x->a+)x^2/(x-a)定积分(a到x)f(t)dt=
设函数f(x)在区间[a,b]上连续,则lim(x->a)∫(a->x)f(t)dt=____,lim(x->a)1/(
证明题求定积分设函数F(X)在区间[a,b]上连续,单调增加,F(X)=1/(x-a)倍的{定积分f(t)dt,积分区间
设f(x)在[a,b]上连续,f(a)=f(b)=0,定积分f^2(x)从b到a等于1,则定积分xf(x)f'(x)=-
设f(x)在[a,b]上连续,f(a)=f(b)=0,定积分f^2(x)从b到a等于1,则定积分xf(x)f'(x)等于
设函数f(x)有一阶连续导数,又a(a>0)为函数F(x)=定积分x-0(x^2-t^2)f‘(t)dt的驻点.试证:在
f(x)在[a,b]上连续可导,f'(x)≤0 若F(x)=1/x-a,定积分∫f(t)dt[a,x] 证明在(a,b)
设f(x)在[-a,a]上为连续奇函数,则F(x)=∫(0,x)f(t)dt ( )
设f(x)在[-a,a]上连续,则积分(-a,a) x^2 *[f(x)-f(-x)]dx=?
设 f(t)>0且是连续偶函数,又函数F(x)=∫|x-t|f(t)dt定积分上下限为-a、a,x∈[-a,a],讨论F
f(x)在[a,b]上连续,在(a,b)内可导,且f'(x)《0,F(x)=定积分(a~x)f(t)dt/(x-a),证
设f(x)=sin(2t)dt在a到2x上积分,则f'(1)=?(图中第五题)求帮忙
设函数f(x)在[-a,a]上连续则定积分∫[-a,a]x(f(x) f(-x))dx=?