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  • 03-04-2016
  • Mathematics
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what is the intergration of (3x^2-5x/x)dx?

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seg64 seg64
  • 03-04-2016
∫[tex] \frac{3 x^{2} - 5x}{x}dx[/tex]

It looks scary but always see if you can simplify before integrating.  In this case you can just divide and get:
∫[tex]3x - 5[/tex]
Then you just use the power rule to get [tex] \frac{3 x^{2} }{2} - 5x[/tex]
If there's more to this problem then remember that we divided by x so x cannot be 0
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