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1. T/F: 2. T/F: 3. T/F: This section addresses how to evaluate indefinite inte grals such as as / si sin x tanx dx.
1. T/F: 2. T/F: 3. T/F: This section addresses how to evaluate indefinite inte grals such as as / si sin x tanx dx. 4. T/F: Sometimes computer programs evaluate integrals in- volving trigonometric functions differently than one would using the techniques of this section. When this is the case, the techniques of this section have failed and one should only trust the answer given by the computer. 5. Problems In Exercises 5-28, evaluate the indefinite integral. sinxi sin x cosx dx 7. 6. [ sin. 8. F: [sin sin x cosx dx cannot be evaluated using the tech- niques described in this section since both powers of sin x and cos x are even. 9. : [sinx sinx cosx dx cannot be evaluated using the tech- niques described in this section since both powers of sin x and cos x are odd. 10. 11. 14. 15. 16. sin x cos x dx [sin [sin x cosx dx sinx cosx dx 12. sin x cos x dx sinx 13. sin (5x) cos(3x) dx sinx cosx dx Is sin x cosx dx sin x cosx dx [s sin(x) cos(2x) dx sin(3x) sin(7x) dx I sin(x sin(x) sin(2x) dx 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32 33. 34. cos(x) cos(2x) dx 35. COS tanxsecx dx In Exercises 29-35, evaluate the definite integral. Note: the corresponding indefinite integrals appear in the previous set. [ tan*x sec x dx tanx sec* x dx tan'xsec x dx tan xsec x dx tanxsecx dx tanxsecx dx [ tan*x dx sec x dx tan x secx dx cos(x) dx S sin x cos x dx [. sin x cos x dx 1th sin x cos x dx -/2 1." 1. -T/2 sin (5x) cos(3x) dx cos(x) cos(2x) dx tan* x sec x dx /4 tan x sec x dx
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