14   6. (a) Express as partial fractions 2 3 6 1 4 2 2 x x x x + + + ( ) + ( ) (3) (b) Hence, show that ( )( ) ( ) 2 2 2 0 2 3 6 d ln 2 1 4 x x x a bπ x x + + = + + + ∫ where a and b are constants to be determined. 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Turn over 15   Question 6 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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