1.

Integrate the following functions tan^-1x

Answer»

Solution :`int tan^-1x DX `
=`int 1 XX tan^-1x dx`
=`tan^-1x xx x-int1/(1+x^2) C dx`
=`xtan^-1x -1/2 int (2x)/(1+x^2) dx`
=`x tan^-1 x-1/2 LOG (1+x^2)+c`


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