Calculus: 25 Problems on Integration
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Integrate the following functions:
1. (4x^2-8x+1)dx
2. (9t^2-4t+3)dx
3. (2t^3-t^2+3t-7)dt
4. (1z^3-3z^2)dz
5. (4z^7-7z^4+z)dz
6. (3 square root u + 1square root u)du
7. (square root u^3-12u^-2+5)du
8. (2v^54+6v^14+3v^-4)dv
9. (3v^5-v^53)dv
10. (3x-1)^2dx
11. (x-1x)dx
12. x(2x+3)dx
13. (2x-5)(3x+1)dx
14. (8x-5)(Cube root x)
15. (2x^2-x+3)(Square root x)dx
16. (x^3-1)(x-1)dx
17. (x^3+3x^2-9x-2)(x-2)dx
18. (t^2+3)^2(t^6)dt
19. (Square root t +2)^2(t^3)dt
20. (34cosu)du
21. (-15sinu)du
(22. 7cscx)dx
23. (14secx)dx
24. (Square root t+cost)dt
25. (3rd root t^2-sint)dt
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Solution Summary
The solution provides step by step methods for solving 25 problems on integration of polynomial and trigonometric functions.
Education
- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
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