7.1 Integration By Parts/13
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int t\sec^2\left(2t\right) dt }
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle u = t \qquad dv = \sec^2\left(2t\right) \qquad \int\sec^2\left(2t\right)dt }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int t\sec ^{2}\left(2t\right)dt={\frac {1}{2}}\tan \left(2t\right)-{\frac {1}{2}}\int \tan \left(2t\right)dt={\frac {1}{2}}\tan \left(2t\right)-{\frac {1}{4}}\int \tan \left(u\right)du={\frac {1}{2}}\tan \left(2t\right)-{\frac {1}{4}}\ln |\sec 2t|+c}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} & u=2t \\[2ex] & du=2dt \\[2ex] & \frac{du}{2}=dt \\[2ex] \end{align} }