Question

The value of \( \int e^{\tan \theta} (\sec \theta - \sin \theta) \, d\theta \) is:

• A. \( e^{\tan \theta} \sec \theta + c \)
• B. \( e^{\tan \theta} \sin \theta + c \)
• C. \( e^{\tan \theta} \sin \theta + c \)
• D. \( e^{\tan \theta} \cos \theta + c \)

Hint:

When dealing with integrals involving trigonometric functions, break the expression into manageable parts and use standard integration identities.