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Hot goIITian

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SUBSTITUTE cot x AS t²,

THEN cosec²x dx= -2t dt,

sec²x = 1+t⁴

then the integral becomes

_{[ ]}

^{[ ]} (-2t²dt)/ 1+t⁴

which can be written as

^{[ ]} (1-t²dt)/ 1+t⁴-

^{[ ]} (t²+1dt)/ 1+t⁴

i think this becomes easier now....

as tthe above expression is very familiar type of integration.

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