[积分]一题积分

楼主: skyghostlove (Chris)   2014-12-10 14:06:16
请教各位:
1-cosX
1.∫─── dx
1+sinX
2.Prove that if f and g are continuous on [a,b] and g is nonnegative,
a a
then there is a number c in (a,b) for which ∫f(x)g(x)dx=f(c)∫g(x)dx.
b b
第一题我的想法是上下同乘(1-sinX),但会越来越难代换掉
第二题则完全没头绪,烦请高手给个提示
谢谢
楼主: skyghostlove (Chris)   2014-12-10 14:59:00
恩,定理我再去读懂,谢谢

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