lordonez123 lordonez123
  • 10-12-2017
  • Mathematics
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find the general indefinite integral. Use C for the constant of integration[tex] \int\limits(7 x^{2} +2x^-^2)dx [/tex]

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jdoe0001 jdoe0001
  • 10-12-2017
[tex]\bf \displaystyle \int (7x^2+2x^{-2})dx\implies \int 7x^2\cdot dx+ \int 2x^{-2}\cdot dx \\\\\\ \displaystyle 7\int x^2\cdot dx+ 2\int x^{-2}\cdot dx\implies 7\cdot \cfrac{x^3}{3}+2\cdot \cfrac{x^{-1}}{-1}\implies \cfrac{7x^3}{3}-\cfrac{2}{x}+C[/tex]
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