Use the form of the definition of the integral given in theorem 4 to evaluate the integral x^3-3x^2

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04-08-2017
Mathematics

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Use the form of the definition of the integral given in theorem 4 to evaluate the integral x^3-3x^2

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Sxerks Sxerks · Answer 1 · 2017-08-04T13:39:53+02:00

Sxerks Sxerks

04-08-2017

[tex]\int{(x^{3} - 3x^{2})}\,dx[/tex]
[tex]= \int{x^{3}}\,dx - \int{3x^{2}}\,dx[/tex]
[tex]= \frac{1}{4}x^{4} - \frac{3}{3}x^{3} + C[/tex]
[tex]= \frac{1}{4}x^{4} - x^{3} + C[/tex]

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