26 10. (a) Use the substitution x = u2 + 1 to show that 3 1 3 2 1 6 3 2 5 10 d d x x x u u u p q − ( ) + − ( ) = + ( ) ∫ ∫ where p and q are positive constants to be found. (4) (b) Hence, using algebraic integration, show that 3 1 3 2 1 5 10 dx x x a − ( ) + − ( ) = ∫ ln where a is a rational constant to be found. (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________