midterm2-practice

midterm2-practice - MATH 31B SECTION 2 SECOND PRACTICE...

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Unformatted text preview: MATH 31B SECTION 2 SECOND PRACTICE MIDTERM Problem 1. Evaluate the definite integral 0 1 ¢ ¡ π2 sin2 x cos 2x dx MATH 31B SECTION 2 SECOND PRACTICE MIDTERM 2 Problem 2. Find the limit ¤£ x 0 ¢ lim xx MATH 31B SECTION 2 SECOND PRACTICE MIDTERM 3 Problem 3. Use a trigonometric substitution to evaluate the definite integral: ¦ 0 1 x2 ¢ ¥ 1 x2 dx MATH 31B SECTION 2 SECOND PRACTICE MIDTERM 4 Problem 4. Evaluate the definite integral § 0 1 r2 ¢ ¥ 1 r2 dr MATH 31B SECTION 2 SECOND PRACTICE MIDTERM 5 Problem 5. Sketch the graph of the function f x ln sin2 x . Indicate the limits at infinity, vertical asymptotes, maxima, minima and inflection points. Please use the coordinate axes drawn below. y    © ¨ x MATH 31B SECTION 2 SECOND PRACTICE MIDTERM 6 Problem 6. Use integration by parts to evaluate the definite integral § 0 4 r2 ¢ ¥ 1 r3 dr ...
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This note was uploaded on 02/22/2010 for the course MATH Math 31B taught by Professor Houdayer during the Spring '09 term at UCLA.

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midterm2-practice - MATH 31B SECTION 2 SECOND PRACTICE...

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