## anonymous 4 years ago anti-derivative (1)/x^2dx

1. amistre64

$\int x^{-2}\ dx$

2. amistre64

to derive a power we multiply and subtract 1, to undo that we add 1 and divide

3. anonymous

So would my answer be (-1/3x^3)?

4. amistre64

it would; +C

5. amistre64

opps, read it wrong: -1/3 x^-3

6. amistre64

+C ....

7. amistre64

$\int x^{-2}\ dx=-\frac{1}{1}x^{-1}=-\frac{1}{x}+C$ thats better

8. anonymous

okay thanks. I need to know how to type another problem but I do not know how to type it in integral notation. COuld you explain how to do that please?

9. amistre64

I gotta get to class at the moment; but good luck :)

10. anonymous

ok well later Thanks. :)

11. anonymous

use the power rule backwards

12. anonymous

$\frac{d}{dx}x^n=nx^{n-1}$ $\int x^n dx=\frac{x^{n+1}}{n+1}$