7B_2016-2017_H2_Maths_App_of_Integration_Assignment_1

National Junior College Mathematics Department 2016 Applications of Integration (Definite Integrals) Page 1 of 1 National Junior College 2016 – 2017 H2 Mathematics Applications of Integration (Definite Integrals) Assignment 1 Name: _____________________________ Class: 1ma2__ / 1IPma21__ / 1IPma22__ Subject Tutor: _________________ You are advised to use only MF26, and complete this assignment in one sitting. 1 (i) Sketch the graph of 2e, xyx  stating the equations of any asymptotes. [2] (ii) Hence show that 22 1 e d e ,xx x a b    where a and b are constants to be determined. [5] 2 Find the exact value of a such that 3 23 2 2 21 2 11 d d .4 1a xxx x       [4] 3 Use the substitution 2secx  to find the exact value of 4 2 2 1 d. 1 x xx     . [4] 4 (i) Solve e e 0.xx  [2] (ii) Use a non-calculator method to find 3 4 e e d .xx x   Give your answer to 2 decimal places. [3] Suggested Duration: 40min Time Spent: