Page 14 - Calculus for the Clueless

Memorize these also!

Example 16a (The Next One 1 Left Out)—

This is different.

These integrals are not long, but you must study them because there are a lot of differences.

You will be able to identify these integrals by sight with practice. As for me, I know arc sin and arc tan very
well, because I've practiced them. However, in all the years I've taught, no one has ever required arc sec, so I
have to struggle, since I need practice also. Practice is what is needed!

Example 17—

3x 2
2
3x
3x
6x
3x
You must see this is an arc sin. u = e ; u = (e ) = e ; du = 3e dx; du/3 = e dx.

Example 18—

5
2
6 2
2
6
12
You must see this is an arc tan. u: X ; u = (x ) = x ; du = 6x dx; a = 7 1/2 since a = 7.