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Since sin²x + cos²x = 1, the integral of 1/(sin²x cos²x) simplifies to which function?

Atan x + cot x + C
Btan x − cot x + C
C2 cot 2x + C
Dcot x − tan x + C
Answer & Solution
Correct answer: B. tan x − cot x + C
Writing 1 as sin²x + cos²x gives sec²x + cosec²x, which integrates to tan x − cot x.
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