Solving for the constant in the general anti-derivative

Given a function f(x), the general anti-derivative has the form F(x) + C. Notice that +C? Well if I give you some other piece of information like that F(0)=2 then we can solve for the +C

Learning Objectives:
1) Compute THE anti-derivative of a function by solving for C if an extra piece of info is given.

Now it's your turn:
1) Summarize the big idea of this video in your own words
2) Write down anything you are unsure about to think about later
3) What questions for the future do you have? Where are we going with this content?
4) Can you come up with your own sample test problem on this material? Solve it!

Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master calculus means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK.

This video is part of a Calculus course taught by Dr. Trefor Bazett at the University of Cincinnati.

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[someperson]

2:38 couldn't arcsin(0) also be 2π, for example?