Question

Please help with either of these! I’m struggling to understand them

Answer 1

Given:

`\int (5-x^2+(18)/(x^4))dx`

To find:The value of the given integration.

Step-by-step explanation:

`\begin{gathered} \int (5-x^2+(18)/(x^4))dx=\int (5-x^2+18x^(-4))dx \\ =5x-(x^3)/(3)+18((x^(-4+1))/(-4+1))+c \\ =5x-(x^3)/(3)+18(-(x^(-3))/(3))+c \\ =5x-(x^3)/(3)+6(-x^(-3))+c \\ =5x-(x^3)/(3)-(6)/(x^3)+c \end{gathered}`