Integration of an equation by hand

[Hannibal123]

Homework Statement

I have some trouble integrating this velocity equation http://imgur.com/Ope9R

The Attempt at a Solution

i have tried myself and have come to this equation after solving for c for the condition t,s=0,s_0 however it is fine if the condition is t,s=0,0
http://imgur.com/wkuWW
This does not seem to be correct though.

 

[Saitama]

What's the value of ∫tan(ax+b)dx ?

Hint: Solve it using integration by parts.

 

[Hannibal123]

I have solved it now thanks.
http://imgur.com/E4SbR