Integration of an equation by hand

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SUMMARY

The discussion centers on the integration of the velocity equation and specifically addresses the integral of the function ∫tan(ax+b)dx. The user initially struggled with the integration process but successfully applied integration by parts to arrive at the correct solution. The integration by parts method is confirmed as the appropriate technique for solving this integral.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with the integration by parts technique
  • Knowledge of trigonometric functions and their integrals
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Study the integration by parts formula in detail
  • Practice integrating various trigonometric functions
  • Explore advanced techniques in integral calculus
  • Learn about the applications of integrals in physics, particularly in motion equations
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This discussion is beneficial for students studying calculus, particularly those focusing on integration techniques, as well as educators looking for examples of solving trigonometric integrals.

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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.
 
Physics news on Phys.org
What's the value of ∫tan(ax+b)dx ?

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

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