Integral Example - # 6

Jason76

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All of this will be evaluated at top 8 and bottom 1

\(\displaystyle \int x^{2} - 4x + 9 dx\)

\(\displaystyle \rightarrow \dfrac{x^{3}}{3} - \dfrac{4x^{2}}{2} + 9x\)

\(\displaystyle \rightarrow \dfrac{x^{3}}{3} - \dfrac{2x^{2}}{2} + 9x\)

\(\displaystyle [\dfrac{(8)^{3}}{3} - \dfrac{2(8)^{2}}{2} + 9(8)] - [\dfrac{(1)^{3}}{3} - \dfrac{2(1)^{2}}{2} + 9(1)]\)

\(\displaystyle [\dfrac{(512)}{3} - \dfrac{2(64)}{2} + 9(8)] - [\dfrac{(1)}{3} - \dfrac{2(1)}{2} + 9(1)]\)

\(\displaystyle [\dfrac{512}{3} - \dfrac{128}{2} + 72] - [\dfrac{1}{3} - \dfrac{2}{2} + 9]\)

\(\displaystyle [\dfrac{1024}{6} - \dfrac{384}{6} + \dfrac{432}{6}] - [\dfrac{2}{6} - \dfrac{6}{6} + \dfrac{54}{6}]\)

\(\displaystyle [\dfrac{1072}{6}] - [\dfrac{50}{6}] = \dfrac{1022}{6} = 170.3\) - This answer is wrong on computer.
 
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