IIT JEE , AIEEE Forum - Mathematics , Integral Calculus - definite Integration good question-1

Anupamagrawal13a

_{[0 ]}

^{[ 1]} tan^-1(^{_{2x-1/1-sinx-x}2})dx

Ans is 0

Plz solve it.Rates to all replies.

Anupam

iitkgp_bipin

Please check your question. Is it _[0]

^[1] tan^-1((2x-1)/(1-sinx-x²)).dx ??

I integrated it numerically using Simpson's rule just to check whether it is coming nearby 0 or not. But I got -0.5 (approx).

It would be nice of you if you post the question again.

bvsatyaram

I even tried
_[0]

^[1] tan^-1(2x-(1/(1-sinx-x²⁾)).dx
its way far from zero.

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