General Integration Formulas cos a cos ax dx = Ssec²ax 1 sin ax + C a 1 sec ax dx = - tan ax + C a Ssec axtan ax dx sec ax tan ax dx = Sex dx = S S a² dx +x² dx 1 a eax 1 == a x + C = 1 - a sec ax + C tan-1+C 1 - a sec a 1 a + C, a > 0 Jsina sin ax dx = csc 2 ax csc ax dx: csca 1 -- = - a 1 - cos ax + C a csc ax cot ax dx: Sbx dx = 1 In b S- dx 2 √a²-x² 2 cot ax + C - 1 a csc ax+C -bx+C, b>0, b#1 -1 x - = sin¯ ½ ½-½ + C, a + C, a > 0 - Use a change of variables or the table to evaluate the following definite integral. -2 +27 dx -3 Click to view the table of general integration formulas. -2 √ x² ex³ +27 dx = | (Type an exact answer.) -3