# Homework Help: Stuck on vector integral, Calc III log_2

1. Oct 1, 2005

### mr_coffee

Hello everyone i'm stuck on this problem its an integral but i don't know how to integrate the log_2 part, i converted it to natural log:
Here is what I have:
http://img278.imageshack.us/img278/1158/integral9lo.jpg [Broken]
Thanks.

Last edited by a moderator: May 2, 2017
2. Oct 1, 2005

### TD

As you say

$$\log _2 t = \frac{{\ln t}}{{\ln 2}}$$

So

$$\int {\log _2 tdt = } \int {\frac{{\ln t}}{{\ln 2}}} dt = \frac{1}{{\ln 2}}\int {\ln tdt}$$

So now it's just integrating ln(t)dt. If you don't remember how, think integration by parts with f = lnt and dg = dt.