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Firdavs [7]
2 years ago
10

Find the following integrals

Mathematics
2 answers:
Hunter-Best [27]2 years ago
8 0

\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}

\sf x -  \frac{4}{x}   + C

Step-by-step 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 -  \frac{4}{x}   + C}

irina1246 [14]2 years ago
7 0

Answer:

x - 4/x

Step-by-step explanation:

Re write as      1 + 4 x^-2

  then you can see the integral is    x -4x^-1

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