The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 9

Find ∫ arctan x dx.

Let u = arctan x, du = dx/(1 + x2), v = x, dv = dx.

Then

08_exp-log_functions-390.gif

From Example 7,

08_exp-log_functions-391.gif

Therefore

08_exp-log_functions-392.gif

∫ arccot x dx can be evaluated in a similar way.


Last Update: 2006-11-16