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Answer»

Answer:

TANX - X + C

Explanation:

FORMULAE used:

sec²x - tan²x = 1

∫sec²x dx = tanx + c

Solution:

sec²x / cosec² x = (1/cos² x)/ (1/ sin² x) = sin²x/cos²x

= tan² x = sec²x - 1

Therefore,

∫(sec²x - 1)dx = ∫sec²x dx - ∫dx = tanx - x + c

where, c is a constant



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