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Question

Mathematics Question on integral

Find the following integral: x2(11x)dx\int x^2\bigg(1-\frac{1}{x}\bigg)dx

Answer

x2(11x)dx\int x^2\bigg(1-\frac{1}{x}\bigg)dx

= (x21)dx\int (x^2-1)dx

=x2dx1dx= \int x^2dx-\int 1dx

=x33x+C\frac{x^3}{3}-x+C