Math 1560 - Mathematics 1560 Assignment 10 Due Date December 3 2010 1 Use definition of the integral to evaluate the following integrals 1(a-1 2(x2

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Unformatted text preview: Mathematics 1560 Assignment 10 Due Date: December 3, 2010 1. Use definition of the integral to evaluate the following integrals: 1 (a) -1 2 (x2 + x) dx (x2 + 1) dx x3 dx 2 (b) 0 2 (c) 1 2. Evaluate the integral -2 (1 - |x|) dx by interpreting it in terms of simple areas. 3. Find y , where (a) (b) (c) t dt 0 t2 + 1 x2 y= t2 + t + 1 dt y= 1 sin2 3x x y= cos x 1 dt t2 + 1 4. Evaluate the following integrals: (a) (b) (c) (d) x+1 dx x2 + 2x + 1 1 1 dx sin 2 x x 3 x5 x3 + 2 dx sin x cos x dx (2 + cos2 x)2 (1 + ex )2 dx (e) ex 5. Evaluate the following definite integrals: 7 (a) 0 1 4 + 3x dx (b) 0 x2 (1 + 2x3 )5 dx (c) 0 x cos(x2 ) dx (d) 0 3 2 (e) 1 sin d cos2 dx 8 - 3x 1 ...
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This note was uploaded on 11/24/2010 for the course MATHEMATIC 1560 taught by Professor Amirakbary during the Fall '10 term at University of Lethbridge.

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