Prime DSE Series - Mathematics Mock Exam Papers (Extended Part) Module 2 Set 3

HKDSE-MATH-EP(M2)(Set 3) − 8 8 © United Prime Educational Publishing (HK) Ltd. Answers written in the margins will not be marked. Answers written in the margins will not be marked. Answers written in the margins will not be marked. 6. (a) Find a pair of constants p and q such that 2 2 2 15 19 (3 ) x x x e p e qe − − − + ≡ + + . (b) Someone claims that 2 ln 3 2 0 15 19 d ln 3 ln 7 3 x x e x e α β − − + ≡ + + ∫ , where α and β are rational numbers. Is the claim correct? Explain your answer. (6 marks) Sample © United Prime Educational Publishing (HK) Limited All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publisher.