求助!高数题目!设f″(x)<0,x∈[0,1],证明:∫(0,1)f(x∧2)dx≤f(1/3).
求助!高数题目!设f″(x)<0,x∈[0,1],证明:∫(0,1)f(x∧2)dx≤f(1/3).
设f(x)∈C[0,1],证明∫(π,0)*x*f(sinx)dx =π/2*∫(π,0)*f(sinx)dx
积分证明题设函数f(x)∈C[0,1]∩D(0,1),且f(0)=0,0<f'(x)<1,证明[∫(0,1)f(x)dx
设f(x)为连续函数,且满足f(x)=3x^2-x∫(1,0)f(x)dx求f(x)
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
高数,积分.设f(x)dx为x^2/(1+x)^(-1/2)+c,则x^2 f(x^3+1) dx为多少,求讲解
设f(x)=e^x,则∫(0,1)f'(x)f''(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
设f(3x+1)=xe^x/2,求∫f(x)dx(上限1下线0)
求证明 :∫[0,1] f^2(x)dx大于等于【∫[0,1] f(x)dx】^2
设函数f(x)在[0,1]有二阶连续导数 求 ∫(0积到1)[2f(x)+x(1-x)f''(x)]dx
设f(x)为连续函数,则∫(0,1)f’(1/2)dx等于