[例8](2017,数二)设二阶可导函数f(x)满足 f(1)=f(-1)=1 (0)=-1, 且-|||-''(x)gt 0, 则-|||-(A) (int )_(-1)^1f(x)dxgt 0. (B) (int )_(-1)^1f(x)dxlt 0.-|||-(C) (int )_(-1)^0f(x)dxgt (int )_(0)^1f(x)dx. (D) (int )_(-1)^0f(x)dxlt (int )_(0)^1f(x)dx. 【B】