判断题(对的在括号中打"√",错的在括号中打"×")
1.若f(x)在[a,b]上连续,则必存在ξ∈[a,b]使得
. ( )
2.
( )
3.若f(x)+g(x)在[a,b]上可积,则f(x)与g(x)均在[a,b]上可积. ( )
4.
. ( )
判断题(对的在括号中打"√",错的在括号中打"×")
1.若f(x)在[a,b]上连续,则必存在ξ∈[a,b]使得
. ( )
2.
( )
3.若f(x)+g(x)在[a,b]上可积,则f(x)与g(x)均在[a,b]上可积. ( )
4.
. ( )
设函数f(x)在[a,b]上可积,则(int )_(a)^bf(x)dx=A.(int )_(a)^bf(x)dx=B.(int )_(a)^bf(x)dx=C
A.若 (int )_(a)^bf(x)dx=0, () 则在[a,b]上 f(x)=0B.若 (int )_(a)^bf(x)dx=0, () 则在[a,b
()-|||-A) |(int )_(a)^bf(x)dx|geqslant (int )_(a)^b|f(x)|dx-|||-B |(int )_(a)^bf
27.设函数f(x)在[a,b]上连续,在(a,b)内可导,当x∈(a,b)时,|f(x)|≤M且int_(a)^bf(x)dx=0,证明:|f(a)|+|f(
19.设f(x)在区间[a,b]上连续,且f(x)>0,则int_(a)^bf(x)dxcdotint_(a)^b(1)/(f(x))dxgeq(b-a)^2A
(B) (int )_({x)_(1)}^(x_{3)}pi [ (f)^2(x)-(g)^2(x)] dx.-|||-(C)(int )_(x)^(x_{3)
[题目]-|||-若 int f(x)dx=F(x)+C, 则 int f(2x-3)dx= __ .
5.设f在 [ -a,a] 上可积.证明:-|||-(1)若f为奇函数,则 (int )_(-a)^af(x)dx=0;-|||-(2)若f为偶函数,则 (i
设 f(x) 在 [a, b] (a < b) 上连续,并且 int_(a)^b f(x) dx = int_(a)^b x f(x) dx = 0。证明:至少
5、单选 下列叙述不正确的是 -|||-A 若f(x)在[a,b]上可积,则f(x )在[a,b]上有界-|||-B 若f(x)在[a,b]上只有有限个第一类间