Find the Most General Antiderivative Of $\sec ^ { 2 } x + \sin x$

question 64

Multiple Choice

Find the most general antiderivative of $\sec ^ { 2 } x + \sin x$ .

• A) \(\frac { 1 } { 3 } \sec ^ { 3 } x + \sin x + C\)
• B) \(\tan ^ { 2 } x - \sin x + C\)
• C) \(\tan x + \cos x + C\)
• D) \(\tan x - \cos x + C\)
• E) \(\tan ^ { 2 } x + \sin x + C\)
• F) \(\frac { 1 } { 3 } \sec ^ { 3 } x + \frac { 1 } { 2 } \sin ^ { 2 } x + C\)
• G) \(\frac { 1 } { 3 } \sec ^ { 3 } x - \sin x + C\)
• H) \(\frac { 1 } { 3 } \sec ^ { 3 } x - \frac { 1 } { 2 } \sin ^ { 2 } x + C\)

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