Question

Find the following integrals

Answer 1

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`\sf x - (4)/(x) + C`

Explanation:

`\sf \longmapsto \int \frac{ {x}^(2) + 4 }{ {x}^(2) }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^(2) }{ {x}^(2) } dx + \int \frac{4}{ {x}^(2) } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^(2) } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^( -2 + 1)}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - (4)/(x) + C}`