Integral of sin(x)/x
I feel it obligated to make the theory of integrating this sort of integrand more clear.
First,everyone knows that ;
so[ is a primitive function of f(x) ].
If I create function sequence :,then follow the rule above and you'll get ,...(You know what I mean)
So .
If you want to get the integral of sin(x)/x,you can let f(x) be 1/x,thus ,(integrate ln|x| for n-1 times).
Don't ask me how I get this:.
Have you got it now?