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Integrate the following functions tan^-1...

Integrate the following functions `tan^-1x`

Text Solution

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`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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