# Chapter 5 - The Integral - Chapter Review Exercises - Page 278: 44

$40$

#### Work Step by Step

Given $$\int_{0}^{2}\left(12 x^{3}-3 x^{2}\right) d x$$ \begin{align*} \int_{0}^{2}\left(12 x^{3}-3 x^{2}\right) d x&=3 x^4 -x^3\bigg|_{0}^{2}\\ &= 48-8-(0-0)\\ &=40 \end{align*}

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