习题5-1

习题5-1

1.比较积分值的大小.

(1)

(2)

2.设f(x),g(x)在[a,b]上连续,证明:

(1)若在[a,b]上f(x)≥0,且=0,则在[a,b]上f(x)≡0;

(2)若在[a,b]上f(x)≥0,且f(x)≢0,则>0;

(3)若在[a,b]上f(x)≤g(x),且,则在[a,b]上f(x)≡g(x).