f(x)為周期函數(shù),f(x)=f(x+T)
f(x)+a=f(x+T)+a
所以f(x)+a也是周期函數(shù)
∫[f(x)+a]dx=F(x)+ax
F(x)是周期函數(shù),如果a≠0,F(x)+ax就不是周期函數(shù)了.
書上是正確的.
周期函數(shù)的原函數(shù)不一定是周期函數(shù).