Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. See Example 1. cot u, given that tan u = 18

Chapter 8: Techniques of Integration Continued ____________________________________________________________ 8.4 Partial Fractions 1. The degree of f(x) is < g(x); otherwise use long division first. 2. g(x) can be factored How Partial Fractions Work 1. If(x− r) is a factor of g(x), we assign m partial fractions: m 2. If (x + px + q)is a factor of g(x), we assign m partial fractions: 3. Take the sum of the partial fractions ; let the sum be equal to f(x)/g(x) 4. In the numerator, equate the coefficients of x, then solve the system of equations for A, B, C, and so on Note: The power shows how many partial