设f(x)在[0,2]上连续,在(0,2)内二阶可导,且f(0)=f(1/2),f(2)=2∫[1/2,1]f(x)dx
设f''(x)在[0,1]上连续,f'(1)=0,且f(1)-f(2)=2,则∫(0,1)xf''(x)dx=
设f(x)导数在【-1,1】上连续,且f(0)=1,计算∫【f(cosx)cosx-f‘(cosx)sin^2x】dx(
设f(x)在区间[0,1]上连续,在(0,1)内可导,且满足f(1)=3∫ e^(1-x^2) f(x) dx
设f''(x)在[0,1]连续,且f(0)=1,f(2)=3,f'(2)=5,求∫[0,1]xf''(2x)dx
设F(X)在[0,1连续,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度
设f(x)在【0,1】上连续且∫(0,1)f(x)dx=A,证明∫(0,1)dx∫(x,1)f(x)f(y)dy=A∧2
已知f''(x)在[0,1]上连续,f'(1)=0,且f(1)-f(0)=2,则∫(0,1)xf''(x)dx=
设函数f(x)在[0,1]上具有连续导数,且f(0)+f(1)=0,证明:|∫ f(x)dx|≤1÷2×∫ |f’ (x
特急:设函数f(x)在区间[0,2a]上连续,证明:∫ f(x)dx)=∫ [f(x)+f(2a-x)]dx,
设f(x)在【0,1】上连续.证明∫(π/2~0)f(cosx)dx=∫(π/2~0)f(sinx)dx
100分求高数积分题设f(x)在[-π,π]上连续 且f(x)=x/(1+(cosx)^2)+∫ f(x)sinX dx
设f(x)在[0,1]上连续 且满足f(x)=[1/(1+x^2)]-积分号(上限1,下限0)f(x)dx 求f(x)在