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Math_122_200702_Exam1_solution_key

Math_122_200702_Exam1_solution_key - in sigma notation with...

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1 of 6 Exam One MATH 122 Winter, 2008 Name_______________________________ Section____________ Show all your work on the exam paper, legibly and in detail, to receive full credit. No Calculators. Some useful formulas: ( ) ( )( ) ( ) 2 1 3 1 2 1 2 1 ; 6 1 2 1 ; 2 1 = = = + = + + = + = n k n k n k n n k n n n k n n k 1. (5 points) Given the following differentiation formula, state its corresponding integration formula. [ ] 2 2 1 1 x x x dx d + = + 2. (5 points) Show that the following integration formula is correct. ( ) ( ) ( ) + = C x x x dx x x cos sin sin
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