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Integral Reduction Formulas for Trigonometric Expressions, Exams of Calculus

Institute of Mathematics and ApplicationsCalculus

Reduction formulas for integrals containing trigonometric expressions such as sine, cosine, tangent, and secant. The formulas are presented for positive integer values of n, and include the cases where n is not equal to 1. These formulas are essential in calculus and integral calculus for solving various types of integrals.

Typology: Exams

2012/2013

Uploaded on 03/16/2013

saroj
saroj 🇮🇳

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NAME; { re € ¥ Math 106B - Exam 2- March 9, 2007 INSTRUCTIONS: Show all of your work and cirele your solutions. Cross out any unnecessary work. Calculators are allowed, but notes and books are not. Reduction formulas for integrals involving trigonometric expressions are given on the last page of this exam. 1. (10 points) Integrate the following. (Note: Your final answer should not contain any function compo- sitions of a trigonometric function with an inverse trigonometric function - for example, tan (aresin x) - as you can simplify these.) : fe Gon ge2 ame uee, Lb xeBent oy dvssen tit # \ ™ (= deg oe OE ae ia ee Van V4- Beaty eins st pe Pe ) ar aemt [ Asm beset be Ae Beet = 4 ( sine &t =4 ( ~satemt L feceg ae) (ly frm) 2 2 se vated Se ee A ec) pao A soa Since Eh Z 2 ae = oe. Taran (eC = jx Bs Manin (HC | SS a 3 \