Reduction Formula - Calculus - Solved Quiz, Exercises of Calculus

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10/15/2010 Name. Sopperled Soltis Quiz 04 page 1 Circle your Section: B (11am) C (noon) Math 106 BC 1. Find / (cosx)°® dex. Note there is an odd number of factors of cosx here, so use an appropriate substitution (such as u = sinz, u = secz, u=cosx, u=tanz, etc.) (do not use a “reduction formula”). Let, W= 90 x, thon olld.= Geb x bx we have [cas x) fbn = {((0s%)" cos x = |(an'y a x = f (i-9%)* ae x An * (¢=—a3E di. =f ~2u* 40" ) obit , ia 5 = Kure uy +, = |sia X ~7 Sin x +E Sn ee 2A. Find I; w= by introducing an appropriate trig substitution. Hint: it’s arcane one or these: = 4sint, x = 4sect, or =4tant. You may find your answer in ( ™ above useful midway through this problem. shetang vith: see’ t -1= tan t 2 Vo sect & -/ > Lo Tan*t Teen > loin > 108% iguts[ Ka 40 € (0 (TO = arte = 4 tn) 4 wet tanta Iv = 4 act byl KEG ac tant te hr 4 act mt de 1 dt =o I a 4° ae% Yant ae 4090 ees lf. As wlaus ; X cet, temt = int ~% srk +e ont J4C wing x Yet, 0 Fa set, aus