Question

Ayuda porfavor a resolver

Answer 1

Respuesta:

$integral \: {x}^{ \frac{3}{5} } dx = \frac{ {x}^{ \frac{3}{5} + 1 } }{ \frac{3}{5} + 1} = \frac{ {x}^{ \frac{8}{5} } }{ \frac{8}{5} } = \frac{5 {x}^{ \frac{8}{5} } }{8} + c$

$integral( \frac{3}{ {x}^{4} } - \frac{2}{ {x}^{2} } ) = integral \: 3 {x}^{ - 4} - integral \: 2 {x}^{ - 2}$

$= 3( \frac{ {x}^{ - 4 + 1} }{ - 4 + 1} ) - 2( \frac{ {x}^{ - 2 + 1} }{ - 2 + 1} ) = 3( \frac{ {x}^{ - 3} }{ - 3} ) - 2( \frac{ {x}^{ - 1} }{ - 1} ) = - \frac{1}{ {x}^{3} } + \frac{2}{x} + c$