Question #e63af

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Answer 1 · 2017-01-04T11:19:29

The answer $= = - \frac{73}{504} = - 0.14484$ $==-73/504=-0.14484$

We need

$\int x^{n} d x = \frac{x^{n + 1}}{n + 1} + C (x \neq - 1)$ $intx^ndx=x^(n+1)/(n+1)+C(x!=-1)$

Therefore,

$\int_{0}^{1} x^{6} (4 x^{2} + x - 5) d x$ $int_0^1x^6(4x^2+x-5)dx$

$= \int_{0}^{1} (4 x^{8} + x^{7} - 5 x^{6}) d x$ $=int_0^1(4x^8+x^7-5x^6)dx$

$= {[4 \frac{x^{9}}{9} + \frac{x^{8}}{8} - 5 \frac{x^{7}}{7}]}_{0}^{1}$ $=[4x^9/9+x^8/8-5x^7/7] _0^1$

$= (\frac{4}{9} + \frac{1}{8} - \frac{5}{7}) - (0)$ $=(4/9+1/8-5/7)-(0)$

$= \frac{224 + 63 - 360}{504}$ $=(224+63-360)/504$

$= - \frac{73}{504} = - 0.14484$ $=-73/504=-0.14484$