Home » Blog » Compute an integral of (5x^4 – 4x^3) Compute an integral of (5x^4 – 4x^3) by RoRi July 22, 2015 Compute: Using the formula for the integral of polynomials, we compute: Related
November 27, 2016 at 10:42 pm Grant says: I think the answer in the book is a typo. I also got 2 and I’ve checked several times. Solution here appears correct.
![\[ \int_{-1}^1 (5x^4 - 4x^3) \, dx. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-f12283c87dd1120bb5daf462ffad287d_l3.png "Rendered by QuickLaTeX.com")
![\[ \int_{-1}^1 (5x^4 - 4x^3) \, dx = \left. \left(5 \left(\frac{x^5}{5}\right) - 4 \left( \frac{x^4}{4} \right) \right) \right|_{-1}^1 = (1 - 1) - (-1 - 1) = 2. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-356086cfb641e2ed717470d02a95c965_l3.png "Rendered by QuickLaTeX.com")
I think the answer here was 0.
I think the answer in the book is a typo. I also got 2 and I’ve checked several times. Solution here appears correct.