MATH 1004, Section B & E Due 27 Nov, 2017 (at the beginning of tutorial) Total marks: 94 ASSIGNMENT 3 Solve each of the following integrals. 1. Z x3 sin(2x) dx [5 marks] 2. Z (3x3 + 2x2 + x)e2x dx [5 marks] 3. Z 3x2 ln x dx [4 marks] 4. Z cos(2x) cos(3x) dx [6 marks] 5. Z x2 sin(ln x) dx [8 marks] 6. Z x3 dx x3 x [8 marks] Z x+1 dx x3 x2 [8 marks] 7. 8. Z x3 + 1 dx (x2 + 4)(x2 + 9) [10 marks] 9. Z cos2 x sin2 x dx [5 marks] Z cos5 x sin6 x dx [5 marks] 10. 11. Z tan5 x sec6 x dx [5 marks] Z tan5 x sec7 x dx [5 marks] 12. 13. Use techniques of trig substitution to solve: Z x 4 + x2 dx [10 marks] 14. Use techniques of trig substitution to solve: Z x 4 x2 dx [10 marks]