Integration By Substitution Problem#21. ∫ (3x²+15x+13)/(x-4) dx

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Integral Calculus and Differential Calculus
By Feliciano and Uy

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CHAPTER 9.3
INTEGRATION BY SUBSTITUTION

EXERCISE 9.2

1. ∫ √(2 - 3x) dx

2. ∫ (x³+2x)⁵ (6x²+4) dx

3. ∫ x²(2x³-1)⁴ dx

4. ∫ (x+1)/ ³√(x²+2x+1) dx

5. ∫ (2x+3)/(x²+3x+4) dx

6. ∫ (x⅓+1)³ᴵ² /x⅔ dx

7. ∫ x²/(x³-1)⁴ dx

8. ∫ √(ln4x)/x dx

9. ∫ dx/xln²x

10. ∫ e²ˣ/√(1+e²ˣ) dx

11. ∫ dx/eˣ-1

12. ∫ sin³x cosx dx

13. ∫ cos⁴x sinx dx

14. ∫ sin2x/(1-cos2x)⁴ dx

15. ∫ √(1+2sin3x) cos3x dx

16. ∫ cos4x/sin³4x dx

17. ∫ sec²x/a+b tanx dx

18. ∫ cot³4x csc²4x dx

19. ∫ √(tan3x) sec²3x dx

20. ∫ (1+eˣ)/(1+-eˣ) dx

21. ∫ (3x²+15x+13)/(x-4) dx

22. ∫ (2x+5)/(3x-1) dx

23. ∫ (x⁵-2x³-2x)/(x²+1) dx

24. ∫ (x³+4x)/(x²-1) dx

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