Page 15 - Calculus for the Clueless

Example 19—

2
This is harder to tell. It is an arc sec with u = x , du = 2x dx. Multiply top and bottom by 2x. a =
11 1/2 .

You can all do it if you concentrate and practice a little.

Warning!! Beware! Danger! Now that you know these three, be careful of those that look similar but are not
arcs.

Example 20—

2
This looks like an arc tan, but a u-substitution will give us a log. u = x + 4; du = 2x dx; du/2 = x
dx.

Example 21—

2
This is not an arc sin. u = (1 - x );
du = -2x dx.