The value of \\int{e^{{\Tan}^{-1}(x)}}/{1+x^{2}}[({\Sec}^{-1} \\sqrt{1+x^{2})^{2} +\cos ^{-1}({1-x^{2}}/{1+x^{2}})] d x, for x>0 is _____

Correct Answer is : eTan−1(x)(Tan−1x)2+c

e^{{\Tan}^{-1}(x)}({\Tan}^{-1} x)^{2}+c

e^{{\Tan}^{-1}(x)}({\Tan}^{-1} x) +c

e^{{\Tan}^{-1}(x)}({\Tan}^{-1} x)^{3}+c

-e^{{\Tan}^{-1}(x)}({\Tan}^{-1} x)^{2}+c

AP EAPCET 24-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 75 of 160

Marks: +1, -0

The value of ∫

eTan−1(x)

1+x2

[(Sec−1√1+x2)2 +cos−1(

1−x2

1+x2

)]‌d‌x, for x>0 is _____

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