5.3 The Fundamental Theorem of Calculus/33

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle h(x)=\int _{2}^{1/x}\arctan(t)dt}

${\frac {d}{dx}}\left[h(x)\right]={\frac {d}{dx}}\left[\int _{2}^{1/x}\arctan(t)dt\right]<math>{\frac {-1}{x^{2}}}\left(\arctan({\frac {1}{x}}\right)-0$