126RECEX6 - (a) f ( x ) = x 2 + 1 (b) f ( x ) = sin x (c) f...

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MAT 126: Calculus B — Recitation Exercise Sheet #6, Fall 2009 1. Evaluate the following indefinite integrals using u -substitutions. Indicate what the u function you are substituting is. (a) Z x 1 + x 2 dx (b) Z e cos x sin xdx (c) Z e x 1 + e 2 x dx (d) Z e 5 x dx (e) Z tan xdx (f) Z dx 4 + x 2 (g) Z ln x x dx 2. A function f ( x ) is: Odd: if f ( - x ) = - f ( x ) Even: if f ( - x ) = f ( x ) Determine if the following functions are odd or even.
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Unformatted text preview: (a) f ( x ) = x 2 + 1 (b) f ( x ) = sin x (c) f ( x ) = √ 1-x 2 (d) f ( x ) = x 2 + 3 x + 4 x 4 + 17 x 2 + 16 3. Use symmetry of functions to evaluate the following integrals. (a) Z π/ 2-π/ 2 | sin x | dx (b) Z π/ 2-π/ 2 (1 + x 2 ) 2 sin 5 xdx...
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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