How do you evaluate the definite integral int dx/x from [1,e]?
1 Answer
int_1^e \ 1/x \ dx = 1
Explanation:
The following are important calculus results
d/dx(e^x) = e^x => d/dx(lnx)=1/x => int \ 1/x \ dx = lnx
And so
int_1^e \ 1/x \ dx = [lnx]_1^e =lne-ln1=1-0=1
