Integrating log base 2 in a vector line integral

[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
Thanks.

 

[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.