Home » Blog » Compute a vector valued integral Compute a vector valued integral by RoRi June 1, 2016 Compute the vector valued integral We compute Related
![\[ \int_0^1 (te^t \mathbf{i} + t^2 e^t \mathbf{j} + te^{-t} \mathbf{k}) \, dt. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-fdd5a25497459cf4f6fa8119f9eded4d_l3.png "Rendered by QuickLaTeX.com")
![\begin{align*} \int_0^1 (te^t \mathbf{i} + t^2 e^t \mathbf{j} + te^{-t} \mathbf{k} ) \, dt &= \left( \int_0^1 te^t \, dt, \int_0^1 t^2 e^t \, dt, \int_0^1 te^{-t} \, dt \right) \\[9pt] &= \left( 1, e-2, 1 - \frac{2}{e} \right). \end{align*}](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-fddeb264bd18b07f8444df75f76442e7_l3.png "Rendered by QuickLaTeX.com")