Question:
Evaluate:
i. $\int(\tan x+\cot x)^{2} d x$
ii. $\int\left(\frac{1+2 \sin x}{\cos ^{2} x}\right) d x$
iii. $\int\left(\frac{3 \cos x+4}{\sin ^{2} x}\right) d x$
Solution:
i. Given:
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