The Trigonometric Functions
by
Stefan Waner and Steven R. Costenoble

Answers to Exercises
for
Section 4: Integrals of Trigonometric Functions

3. Derivatives of Trigonometric Functions 4. Integrals of Trigonometric Functions Trigonometric Functions Main Page "Real World" Page
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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(ex)| + C

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

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

21. ex(sin x cos x)/2 + C

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

29. 2

31. (ln 2)/2

3. Derivatives of Trigonometric Functions 4. Integrals of Trigonometric Functions Trigonometric Functions Main Page "Real World" Page
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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)
Last Updated: September, 1996
Copyright © 1996 StefanWaner and Steven R. Costenoble