Teaching UP TGT Mock Test Series 2025 Mathematics Integral Calculus Indefinite Integrals

The value of the integral \(\int tan^ {-1} x ~dx\) is 

1
\(-xtan^{-1}x -\frac{1}{2}log|1+x^2|+c\)
2
\(xtan^{-1}x -\frac{1}{2}log|1+x^2|+c \)
3
\(xtan^{-1}x +\frac{1}{2}log|1+x^2|+c\)
4
\( -\frac{1}{2}log|1+x^2|+c\)
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