Compute ∫ (2 sec x tan x + 3 csc x cot x - 5 sin x) dx and present the simplified antiderivative.

2 tan x - 3 cot x + 5 sin x + C, confusing antiderivative patterns

2 sec x + 3 csc x - 5 cos x + C, incorrect signs for the csc and cosine terms

2 sec x - 3 csc x + 5 cos x + C

sec(2x) - csc(3x) + 5 cos x + C