题目
197 f(x)在[a,b]上连续且 int_(a)^bf(x)dx=0，则（ ）A. int_(a)^b[f(x)]^2dx=0一定成立.B. int_(a)^b[f(x)]^2dx=0不可能成立.C. int_(a)^b[f(x)]^2dx=0仅当f(x)是单调函数时成立.D. int_(a)^b[f(x)]^2dx=0仅当f(x)=0时成立.
197 f(x)在[a,b]上连续且 $\int_{a}^{b}f(x)dx=0$，则（ ）
A. $\int_{a}^{b}[f(x)]^{2}dx=0$一定成立.
B. $\int_{a}^{b}[f(x)]^{2}dx=0$不可能成立.
C. $\int_{a}^{b}[f(x)]^{2}dx=0$仅当f(x)是单调函数时成立.
D. $\int_{a}^{b}[f(x)]^{2}dx=0$仅当f(x)=0时成立.
题目解答
答案
D. $\int_{a}^{b}[f(x)]^{2}dx=0$仅当f(x)=0时成立.