Page 41 - Calculus for the Clueless, Calc II

Example 27—

Trick—split the integral instead of doing long division.

or, if you want to be fancy,

I recently found a new miscellaneous example. It's not too bad if you know your trig.

Example 28—

-1
Let u = tan x; tan u = x = x/1.

Draw the triangle

Pretty cute, eh??!!