Any errors? Please pick out and explain, thanks.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int{}tan^{-1}(x)dx = F(x)[/tex]

[tex]F'(x) = tan^{-1}(x)[/tex]

[tex]\frac{dy}{dx} = tan^{-1}(x)[/tex]

[tex]dy = tan^{-1}(x) dx[/tex]

[tex]tan^{-1}(\frac{dy}{dx}) = tan(x) [/tex]

[tex]\frac{F'(x)}{1+F^{2}(x)} = sec^{2}(x)[/tex]

[tex]F'(x) = sec^{2}(x)[1 + F^{2}(x)][/tex]

[tex]F(x) = tan(x) + \int{}\frac{sin(x)}{cos^{3}(x)}dx[/tex]

[tex]F(x) = tan(x) + \frac{1}{2cos^{2}(x)} + C[/tex]

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# Area under ArcTan[x]

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