Indefinite integral

[Sophiesmark]

Im a little fuzzy on this and its a long problem so Im gonna piece it out:

Using S (1/x^2+a^2) dx= 1/a arctan x/a +C ( that S is supposed to be the long curvy thing that kinda looks like an S)

select convenient limits for the integral and convenient values for the parameter. Compute a good numerical estimate using left and right hand sums, use at least 15 points. then differentiate the right hand side to confirm that the formula is correct. calculate the definite integral using the formula and compare your results to your numerical estimate.


Im not sure of the diff between limits for the integral and values for the parameter are to get started

Any help please

 

[Gene]

I would say they mean the parameter is "a"
Convenient limits might be 1 to 16 and maybe a = 1.

BTW (1/x^2+a^2) should be
1/(x^2+a^2)