dstefan
12-16-2007, 01:03 PM
Chapter 1, Problem 1:
Compute \int \ln(x) dx.
Solution:
Integration by parts:
\int \ln(x) dx = \int (x)' \ln(x) dx = x \ln(x) - \int x (\ln(x))' dx = x \ln(x) - \int 1 dx = x \ln(x) - x +C
Compute \int \ln(x) dx.
Solution:
Integration by parts:
\int \ln(x) dx = \int (x)' \ln(x) dx = x \ln(x) - \int x (\ln(x))' dx = x \ln(x) - \int 1 dx = x \ln(x) - x +C