Evaluate the following definite integrals:
We know, tan x × cot x = 1
We know, tan2x = sec2 x 1 1 and cot2 x = cosec2 x – 1
⇒ 
⇒ 
⇒ 
We know integration of sec2x is tanx and of cosec2 x is –cotx. Therefore,
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