Find the value of the definite integral

0∫1 tan-1 (1 – x+ x2) dx

5 Answers

1357
Manish Shankar ·

I think every one have done this already

1357
Manish Shankar ·

Hint tan-1(1-x+x2=tan-1(1-x(1-x))

1357
Manish Shankar ·

I don't want to solve it myself

1
Philip Calvert ·

The hint is really a big giveaway bhaiyya !
especially when these kind of qs have been done so many times.....

I think it will be somethin like :

\int_{0}^{1}{cot^{-1}(x)+cot^{-1}(1-x)}dx

1357
Manish Shankar ·

yeah like that only

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