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)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【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有一节连续导数,I=∫(0到π)f(cosx)cosxdx-∫(0到π)f‘(cosx)sin^2(x)dx,则I=
设f(x)在[0,+∞)上连续,且∫(0,x)f(t)dt=x(1+cosx),则f(x)=?
若f(x)在[0,1]上连续,证明 ∫【上π/2下0】f(sinx)dx= ∫【上π/2下0】f(cosx)dx
设f(cosx)=1+(cosx)^2,求f(x)的导数
设f(x)=(1+cosx)^(x+1)*sin(x^2-3x),求f(0)的导数等于多少
若函数f(x)在【0,1】上连续,证明∫f(sinx)=∫f(cosx) 0
设f(sin(x/2))=1+cosx,求f(cosx)
设f'(x)=cosx/(1+sinx^2),且f(0)=0,则∫f'(x)/(1+f(x)^2)dx=
设f=[sin(2/x)]=1+cosx,求f(x),f[cos(2/x)].