Calculus and Probability Answers 4

The Trigonometric Functions
by
Stefan Waner and Steven R. Costenoble

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1. (cos x + sin x) + C

3. (1/2)ln |cosec(2x3) + cotan(2x3)| + C

5. (1/2)ln |sin(x²1)| + C

7. (sin⁴x)/4 + C

9. (1/2)cotan(2x3) + C

11. cos(1/x) + C

13. (1sin x)²/2 + C

15. ln |cos(e^x)| + C

17. (2x1)cos x + 2sin x + C

19. 2x³sin(x/2) + 12x²cos(x/2) 48x sin(x/2) 96cos(x/2) + C

21. e^x(sin x cos x)/2 + C

23. (sin x)(ln |sin x|) sin x + C

29. 2

31. (ln 2)/2

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We would welcome comments and suggestions for improving this resource. Mail us at:

Stefan Waner (matszw@hofstra.edu)

Steven R. Costenoble (matsrc@hofstra.edu)