Question 2 (Learning Outcome No.2) (a) Evaluate the following indefinite integrals (i) fxex² dx 6(2x+3) (ii) S (x+2)(x+4

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Question 2 Learning Outcome No 2 A Evaluate The Following Indefinite Integrals I Fxex Dx 6 2x 3 Ii S X 2 X 4 1 (59.09 KiB) Viewed 58 times

Question 2 (Learning Outcome No.2) (a) Evaluate the following indefinite integrals (i) fxex² dx 6(2x+3) (ii) S (x+2)(x+4)(x-1) (iii) fex(32x)dx (iv) [ sin5xdx -dx (b) Find area of the region bounded by the curve y = 4 - x², the line y = 3 and the co-ordinates axis. (c) Find the length of an arc of the curve y = x³ + 2x 4 fixe (d) Estimate the following definite integral numerically by (i) Trapezoidal Rule and (ii) Simpson's Rule with 6 equal intervals. from x 1 to x = 2. xe2x dx Given that the exact solution of the indefinite integral f xe2x dx is equals to e2x (2x - 1) + C, what is the error in the numerical estimation. 4 (12 marks) (3 marks) (3 marks) (7 marks)