Question

what is the integration of x⁴+x³+x²+X+2/x²+1.???​

Answer 1

Answer:

$\frac{x^5}{5} + \frac{x^4}{4} +\frac{x^3}{3} + \frac{x^2}{2} - \frac{2}{x}  + x$

Step-by-step explanation:

Formula used= $\int {x^n} \, dx = \frac{x^n.x}{n+1}$

$x^4 + x^3 + x^2 + x + \frac{2}{x^2} +1$

= ∫ ($x^4 + x^3 + x^2 + x + \frac{2}{x^2} +1$)  $dx$

= $\frac{x^5}{5} + \frac{x^4}{4} +\frac{x^3}{3} + \frac{x^2}{2} - \frac{2}{x}  + x$

Hope this helped you!!