Answer
$8x^{4}+14x^{2}-8.5x+c$
Work Step by Step
$\int \left( 32x^{3}+28x-8.5\right) dx=\dfrac {32}{3+1}\times x^{3+1}+\dfrac {28}{1+1}x^{1+1}-8.5x+c=8x^{4}+14x^{2}-8.5x+c$
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