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![Estimate:
\[
\int_{0}^{3} x^{3} g^{\prime}(x) d x \approx
\]
where \( g(x) \) has the values given in the following table:
To](https://media.cheggcdn.com/media/4c8/4c8130f1-ef16-470d-9a8d-6eebd2156b98/phpKN2Qaq)
Expert Answer
Here given integral ?03x3g?(x)dxFirst we use integral by parts?03x3g?(x)dx=[x3?g?(x)dx]03??03(ddx(x3)?g?(x)dx)dx=[x3g(x)]03??03(g(x)3x2dx=[33g(3)]??03