Question: For x sec x dx, try Integration by Parts with u = x, dv = sec x dx and with u = sec x,

For ∫ x sec x dx, try Integration by Parts with u = x, dv = sec x dx and with u = sec x, dv = x dx, and describe the difficulty that you encounter in each case, keeping you from finding an antiderivative. There is no antiderivative formula for x sec x involving elementary functions.

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