Question:
when tan inverse x is integrated we get 1/1+x square then tan inverse x is equal to cotx??? if so when cotx is integrated it is not equal to 1/1+xsquare why???
Answer:
By integration we know that
∫tan-1 x dx = 1/(1 + x2 )
and ∫cot-1 x dx = -1/(1 + x2 )
So, the integration of tan-1 x is not equal to cot-1 x
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