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Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Integral Calculations Practice

Below are various integral problems for practice. These problems are designed to help you develop strong integration skills by working through a variety of integrals involving different functions and expressions.

#### List of Integrals:

21. \(\int \tan x \sec^3 x \, dx\)

22. \(\int \tan^2 \theta \sec^4 \theta \, d\theta\)

23. \(\int \tan^2 x \, dx\)

24. \(\int (\tan^2 x + \tan^4 x) \, dx\)

25. \(\int \tan^3 x \sec^6 x \, dx\)

26. \(\int_{0}^{\pi/4} \sec^6 \theta \tan^6 \theta \, d\theta\)

27. \(\int \tan^3 x \sec x \, dx\)

28. \(\int \tan^5 x \sec^3 x \, dx\)

29. \(\int \tan^3 x \sec^6 x \, dx\)

30. \(\int_{0}^{\pi/4} \tan^4 t \, dt\)

31. \(\int \tan^3 x \, dx\)

32. \(\int \tan^2 x \sec x \, dx\)

33. \(\int \frac{1 - \tan^2 x}{\sec^2 x} \, dx\)

34. \(\int \frac{\tan x \sec^2 x}{\cos x} \, dx\)

35. \(\int_{0}^{\pi/4} \frac{\sin x}{\cos x} \, dx\)

36. \(\int \frac{\sin \theta + \tan \theta}{\cos^3 \theta} \, d\theta\)

37. \(\int_{0}^{\pi/2} \cot^2 x \, dx\)

38. \(\int_{\pi/4}^{\pi/2} \cot^3 x \, dx\)

39. \(\int_{\pi/4}^{\pi/2} \cot \phi \csc^3 \phi \, d\phi\)

40. \(\int_{\pi/4}^{\pi/2} \csc
Transcribed Image Text:### Integral Calculations Practice Below are various integral problems for practice. These problems are designed to help you develop strong integration skills by working through a variety of integrals involving different functions and expressions. #### List of Integrals: 21. \(\int \tan x \sec^3 x \, dx\) 22. \(\int \tan^2 \theta \sec^4 \theta \, d\theta\) 23. \(\int \tan^2 x \, dx\) 24. \(\int (\tan^2 x + \tan^4 x) \, dx\) 25. \(\int \tan^3 x \sec^6 x \, dx\) 26. \(\int_{0}^{\pi/4} \sec^6 \theta \tan^6 \theta \, d\theta\) 27. \(\int \tan^3 x \sec x \, dx\) 28. \(\int \tan^5 x \sec^3 x \, dx\) 29. \(\int \tan^3 x \sec^6 x \, dx\) 30. \(\int_{0}^{\pi/4} \tan^4 t \, dt\) 31. \(\int \tan^3 x \, dx\) 32. \(\int \tan^2 x \sec x \, dx\) 33. \(\int \frac{1 - \tan^2 x}{\sec^2 x} \, dx\) 34. \(\int \frac{\tan x \sec^2 x}{\cos x} \, dx\) 35. \(\int_{0}^{\pi/4} \frac{\sin x}{\cos x} \, dx\) 36. \(\int \frac{\sin \theta + \tan \theta}{\cos^3 \theta} \, d\theta\) 37. \(\int_{0}^{\pi/2} \cot^2 x \, dx\) 38. \(\int_{\pi/4}^{\pi/2} \cot^3 x \, dx\) 39. \(\int_{\pi/4}^{\pi/2} \cot \phi \csc^3 \phi \, d\phi\) 40. \(\int_{\pi/4}^{\pi/2} \csc
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