Question

integrate (x^2 + 1/x^2)^2​

Answer 1

Step-by-step explanation:

We have,

$\int ({x}^{2} + \frac{1}{ {x}^{2} } )^{2} dx$

$= \int( {x}^{4} + \frac{1}{ {x}^{4} } + 2)dx$

$= \int {x}^{4} dx + \int \frac{1}{ {x}^{4} } dx + \int2dx$

$= \frac{ {x}^{5} }{5} - \frac{1}{3 {x}^{3} } + 2x + c$