Question

How do you find the indefinite integral of `int (-2x^-3+10x^-5) dx`?

Answer 1

`1/x^2-5/(2x^4)+c`

Explanation:

integrate each term using the `color(blue)"power rule for integration"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(int(ax^n)dx=a/(n+1)x^(n+1))color(white)(a/a)|)))`

`rArr(-2)/(-2)x^-2+10/(-4)x^-4+c`

`rArrint(-2x^-3+10x^-5)dx=1/x^2-5/(2x^4)+c`