I can evaluate integrals involving products and powers of trigonometric functions. I can use trigonometric identities to solve integrals after making use of an appropriate trigonometric substitution. I can integrate rational functions by applying the method of partial fraction decomposition, including cases in which the decomposition involves repeated factors and irreducible quadratic factors. Notes: . If doing a trigonometric substitution, you must clearly indicate the substitution you make. If you are undoing a substitution, you must show the properly-labelled triangle used to write your answer in terms of the original variable of integration. . If doing a partial fraction decomposition, you must show the work you have done by hand to determine the decomposition constants. You may check your work using Geogebra or wolframAlpha. Simplify your final answers. . Obviously, you must incorporate the methods of trigonometric substitution and/or the method of partial fraction decomposition to evaluate each integral. 1. Evaluate Vx2 - 1 -dx, where x