Home » Blog » Compute an integral of (t^2 + 1) Compute an integral of (t^2 + 1) by RoRi July 22, 2015 Compute: Using the formula for the integral of polynomials, we compute: Related
![\[ \int_{-1}^2 (t^2 +1) \, dt. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-1d2bee2aac3eb57e2089c80566848537_l3.png "Rendered by QuickLaTeX.com")
![\[ \int_{-1}^2 (t^2 +1) \, dt = \left. \frac{t^3}{3} \right|_{-1}^2 + \left. \phantom{\frac{1}{2}}t \right|_{-1}^2 = \left(\frac{8}{3} - \frac{-1}{3}\right) + (2 - (-1)) = 3 + 3 = 6. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-b899515670c4706af4671ae124fdc298_l3.png "Rendered by QuickLaTeX.com")