Page 12 - Calculus for the Clueless, Calc II

Example 9—

2
u = tan 2x; du = 2 sec 2x dx.

Example 10—

This one requires splitting the integrand into two fractions and uses identities.

It's an easy one if (a big if) you know your identities and trig integrals.

Exponential Integrals

Rule 3

. Know this perfectly by sight!

Example 11—

Rule 4

. Know this one perfectly also!

Example 12—

Example 13—

Crazy exponent substitutions: u = 7/x;
2
du = -7/x dx.