Site d’un MP2I->(MPI\(\times 2\))
\begin{align*}
\int_2^3 xdx &= \left[ \frac{x^2}{2}\right]_2^3 \\
&= \frac{3^2}{2} – \frac{2^2}{2} \\
&= \frac{9}{2} – \frac{4}{2} \\
&= \frac{5}{2}
\end{align*}
\begin{align*}
\int \frac{1}{(2x^{2}+4x-2)^{-\frac{3}{2}}} \ \textrm{dx} &= \frac{\sqrt{2}}{8} \int\frac{\sec{t} \cdot \tan{t}}{\tan^{3}{t}} \ \textrm{dt} \\\ &= \frac{\sqrt{2}}{8} \int\frac{\cos{t}}{\sin^{2}{t}} \ \textrm{dt}
\end{align*}