On this question, I need you to match the integral with the appropriate trigonometric integral that will allow you to solve it. (%) (sec (tam³x) dx (rec ½x) (tan%) de Sum³x) de (see³x) dx A. ^ S (sec^²x) (tanºx) (sec²x) dx B. (sec*x) ( tan¹x) (tan²x) dx C. (wee7x) (tam³x) (sec²stan²x) abe D. S (sec³x) E. (sec ³x) (tanx) (secxtanx) dx secxtanx -S (secx) (tan²x) dx F. *S(tan) (³x-1) de

Calculus: Early Transcendentals
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Author:James Stewart
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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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Can someone help me solve this problem with all steps included than you.

On this question, I need you to match the integral with the appropriate trigonometric integral that will allow you to solve it.

1. \(\int (\sec^2x)(\tan^5x) \, dx \)

2. \(\int (\sec^4x)(\tan^6x) \, dx \)

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

4. \(\int (\sec^3x) \, dx \)

**Options:**

A. \(\int (\sec^2x)(\tan^6x)(\sec^2x) \, dx \)

B. \(\int (\sec^4x)(\tan^4x)(\tan^2x) \, dx \)

C. \(\int (\sec^7x)(\tan^3x)(\sec^2x\tan^2x) \, dx \)

D. \(\int (\sec^8x)(\tan^4x)(\sec\tan x) \, dx \)

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

F. \(\int (\tan x)(\sec^2x - 1) \, dx \)
Transcribed Image Text:On this question, I need you to match the integral with the appropriate trigonometric integral that will allow you to solve it. 1. \(\int (\sec^2x)(\tan^5x) \, dx \) 2. \(\int (\sec^4x)(\tan^6x) \, dx \) 3. \(\int (\tan^3x) \, dx \) 4. \(\int (\sec^3x) \, dx \) **Options:** A. \(\int (\sec^2x)(\tan^6x)(\sec^2x) \, dx \) B. \(\int (\sec^4x)(\tan^4x)(\tan^2x) \, dx \) C. \(\int (\sec^7x)(\tan^3x)(\sec^2x\tan^2x) \, dx \) D. \(\int (\sec^8x)(\tan^4x)(\sec\tan x) \, dx \) E. \( \sec x \tan x - \int (\sec x)(\tan^2x) \, dx \) F. \(\int (\tan x)(\sec^2x - 1) \, dx \)
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