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Unformatted text preview: A 1 + A 2 ) x + (2 A 1 ) . Since the coecients in front of x and the standalone constants must equal each other, it follows that 0 = A 1 + A 2 1 =2 A 1 , a system of two equations in the two unknowns A 1 and A 2 . Solving the second equation for A 1 , we have A 1 =1 2 . Substituting this value into the rst equation gives 0 =1 2 + A 2 , or A 2 = 1 2 . Thus, 1 x 22 x = 1 x ( x2) = (1 2 ) x + ( 1 2 ) x2 =1 2 1 x + 1 2 1 x2 , and Z 1 x 2x =1 2 Z dx x + 1 2 Z dx x2 =1 2 ln  x  + 1 2 ln  x2  + C. 2...
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This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.
 Fall '10
 KIHYUNHYUN
 Calculus, Factors, Fractions

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