study guide 2

# study guide 2 - Math 072 Study Guide for Test 2 Math 072...

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Unformatted text preview: Math 072 Study Guide for Test 2 Math 072 Study Guide for Test 2 Math 072 Study Guide for Test 2 Math 072 Study Guide for Test 2 (6th Ed.), Wednesday, April 2 Ask me if you need any help. My email is [email protected] • (50%) Techniques of Integration This is the main topic for this test. Given an integral, there are certain things you should ask: 1) Can it be simplified with a substitution? 2) Is it of the form for a special method ( for Integration by parts ' B / .Bß 8 +B ' ' ' ' B =38 +B .Bß B -9= +B .Bß / =38 ,B .Bß / -9= ,B .B 68 B 8 8 +B +B or some integrals involving and +<->+8B ; for powers of sine and cosine, or powers of tangent and Integral for trigonometric functions secant; for integral involving or Use trigonometric substitution È È È B m + ß B M + ß + m B # # # # # # if it cannot be handled by a simple substitution ; for integrals of a quotient Use the method of partial fractions of two polynomials (don't forget to make a long division first if the numerator does not have a lower power...
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