for
Section 4: Integrals of Trigonometric Functions
 | 3. Derivatives of Trigonometric Functions | | 4. Integrals of Trigonometric Functions | | Trigonometric Functions Main Page | | "RealWorld" Page | | Everything for Calculus | | Español |
| | Answers to Odd-Numbered Exercises |
Calculate the following integrals
| 1. | $\int (\sin x - \cos x) dx $ | 2. | $\int (\tan x + \cos x) dx$ | 3. | $\int \cosec(2x - 3) dx$ |
| 4. | $\int \tan(7x + 2) dx $ | 5. | $\int x\ \cotan(x^2 - 1) dx$ | 6. | $\int (x+1)\cos(x^2 + 2x) dx$ |
| 7. | $\int \cos x\ \sin^3x\ dx$ | 8. | $\int \sin x\ \cos^4x\ dx$ | 9. | $\int \cosec^2(2x - 3) dx$ |
| 10. | $\int \sec(2x - 3)\tan(2x - 3) dx$ | 11. | $\int x^{-2} \sin(1/x) dx$ | 12. | $\int \frac{\sin x}{1 + \cos x} dx$ |
| 13. | $\int \cos x(1 - \sin x) dx$ | 14. | $\int e^x + \sec^2 \frac{x}{e^x + \tan x} dx$ | 15. | $\int e^x \tan(e^x) dx$ |
| 16. | $\int (x\ \cos x) dx$ | 17. | $\int (2x - 1)\sin x\ dx$ | 18. | $\int (x^2- x + 4)\sin(2x) dx$ |
| 19. | $\int (x^3\cos(x/2)) dx$ | 20. | $\int (e^{2x}\sin x) dx$ | 21. | $\int (e^{-x}\cos x) dx$ |
| 22. | $\int (\sin x)(\ln \|\cos x\|) dx$ | 23. | $\int (\cos x)(\ln \|\sin x\|) dx$ | 24. | $\int \tan^2x\ dx$ |
| 25. | $\int \cotan x\ dx = \ln \|\sin x\| + C$ | 26. | $\int \sec x\ dx = \ln \|\sec x + \tan x\| + C$ |
| 27. | $\int \cosec x\ dx = -\ln \|\cosec x + \cotan x\| + C$ | 28. | $\int \sin^2x = 0.5(x - 0.5\sin(2x)) dx$ |
| 29. | $\int_{0}^{\pi} \sin x\ dx$ | 30. | $\int_{0}^{\pi} \cos x\ dx$ | 31. | $\int_{0}^{\pi/4} \tan x\ dx$ |
| | 3. Derivatives of Trigonometric Functions | | 4. Integrals of Trigonometric Functions | | Trigonometric Functions Main Page | | "RealWorld" Page | | Everything for Calculus |
| | Answers to Odd-Numbered Exercises |
 | Stefan Waner (matszw@hofstra.edu) | | Steven R. Costenoble (matsrc@hofstra.edu) |