Integration of an equation by hand

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The discussion revolves around the integration of a velocity equation, with the user initially struggling to find the correct solution. They attempted to solve for a constant under specific initial conditions but were unsure of their result. A hint was provided to use integration by parts for the integral of tan(ax+b). Ultimately, the user confirmed that they successfully solved the problem. The conversation highlights the importance of integration techniques in solving complex equations.
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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.
 
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What's the value of ∫tan(ax+b)dx ?

Hint: Solve it using integration by parts.
 
Last edited:

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