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Question Number 155919 by horpy4 last updated on 05/Oct/21

	Answered by physicstutes last updated on 05/Oct/21

	$F \times V = \| \begin{matrix} i & j & k \\ 3 u & u^{2} & u + 2 \\ 2 u & - 3 u & u - 2 \end{matrix} \| = i (u^{3} - 2 u^{2} + 3 u^{2} - 6 u)$ $- j (3 u^{2} - 6 u - 2 u^{2} - 4 u) + k (- 9 u^{2} - 2 u^{3})$ $F \times V = (u^{3} + u^{2} - 6 u) i + (- u^{2} + 10 u) j + (- 9 u^{2} - 2 u^{3}) k$ $\underset{0}{\int^{2}} F \times V d u = {[(\frac{u^{4}}{4} + \frac{u^{2}}{2} - 3 u^{2}) i + (- \frac{u^{3}}{3} + 5 u^{2}) j + (- 3 u^{3} - \frac{1}{2} u^{4}) k]}_{0}^{2}$
	Commented by horpy4 last updated on 05/Oct/21

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