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Integrate 5x^2-5x+9 with respect to x

 Nov 4, 2014

Best Answer 

 #1
avatar+33665 
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Use the fact that $$\int{x^n}dx=\frac{x^{n+1}}{n+1}$$ as long as n ≠ -1.

 

So $$\int{(5x^2-5x+9)dx}=\frac{5x^3}{3}-\frac{5x^2}{2}+9x+k$$ where k is an arbitrary constant of integration.

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 Nov 4, 2014
 #1
avatar+33665 
+5
Best Answer

Use the fact that $$\int{x^n}dx=\frac{x^{n+1}}{n+1}$$ as long as n ≠ -1.

 

So $$\int{(5x^2-5x+9)dx}=\frac{5x^3}{3}-\frac{5x^2}{2}+9x+k$$ where k is an arbitrary constant of integration.

.

Alan Nov 4, 2014

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