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- 1. Math 229 Integration Worksheet Substitution Method Integrate 1. (5x + 4)5 dx 2. 3t2 (t3 + 4)5 dt 3. 4x 5 dx 4. t2 (t3 + 4)1/2 dt 5. cos(2x + 1) dx 6. sin10 x cos x dx sin x ( x 1)2 7. dx 8. dx (cos x)5 x 1 x+1 9. x3 + x2 (3x2 + 2x) dx 10. dx 1 (x2 + 2x + 2)3 11. cos x sin x dx 12. (x + 1) sin(x2 + 2x + 3) dx 0 3 1 1 1 13. 1+ dt 14. x2 x3 + 1 dx t t2 1 4 2 1 15. dx 16. dx 3x 7 1 x( x + 1)2 1 x 17. dx 18. x 2x + 1 dx 0 x+1 19. x x x + 1 dx 20. x3 x2 1 dx x2 + 2x 21. (x2 + 1) x 2 dx 22. dx x2 + 2x + 1 1 sec2 x 23. dx 24. dx x2 + 6x + 9 (1 + tan x)3 sin x 25. dx 26. x tan(x2 ) sec(x2 ) dx (2 + 3 cos x)2 27. 3t3 (t2 + 4)5 dt 28. (tan 2x + cot 2x)2 dx 1