Question

Find the integration of [(x³ + 5x² - 4) dx] ÷ x²

Answer 1

Let I = [(x³ + 5x² - 4) dx] ÷ x²

Now

I =

$\int \frac{ {x}^{3} + 5 {x}^{2} - 4}{ {x}^{2} } dx \\ \int( x + 5 - \frac{4}{ {x}^{2} } )dx \\ \frac{ {x}^{2} }{2} + 5x + \frac{4}{x} + c$

where c is constant .

Answer 2

Answer:

See the attachment for the solution.

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