[積分]一題積分

作者: skyghostlove (Chris)   2014-12-10 14:06:16
請教各位:
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
第一題我的想法是上下同乘(1-sinX),但會越來越難代換掉
第二題則完全沒頭緒,煩請高手給個提示
謝謝
作者: skyghostlove (Chris)   2014-12-10 14:59:00
恩,定理我再去讀懂,謝謝

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