Home » Blog » Compute an integral of (8t^3 + 6t^2 – 2t + 5) Compute an integral of (8t^3 + 6t^2 – 2t + 5) by RoRi July 23, 2015 Compute: Using the formula for the integral of polynomials, we compute: Related
![\[ \int_{0}^{1/2} (8t^3 + 6t^2 - 2t + 5) \, dt. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-63de3a75516dff6f553ba37879d85a24_l3.png "Rendered by QuickLaTeX.com")
![\[ \int_{0}^{1/2} (8t^3 + 6t^2 - 2t + 5) \, dt = \left. \left( 8 \frac{t^4}{4} + 6 \frac{t^3}{3} - 2 \frac{t^2}{2} + 5t\right) \right|_0^{1/2} = \left( \frac{1}{8} + \frac{1}{4} - \frac{1}{4} + \frac{5}{2}\right) - (0) = \frac{21}{8}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-5ecfbf8db50e9e52faa289dbe29a2243_l3.png "Rendered by QuickLaTeX.com")