## anonymous 4 years ago how to integrate when the power is -1 therefore the whole power comes as 0

1. anonymous

You mean$\int x^{-1}$

2. anonymous

yeah..:)

3. anonymous

Remember that if $$\large f(x) = \ln(x)$$ then $$\large f^\prime(x) = \frac{1}{x}$$

4. anonymous

Yeah, what @wio said.

5. anonymous

Integration is just finding the anti-derivative!

6. anonymous

so if i want to integrate -3x ^ (-1) then what is the answeR?

7. anonymous

$\int(-3)x^{-1}\,dx=-3\int\frac1x\,dx=-3\ln|x|+C$

8. anonymous

ok thanks! :)

9. hartnn

@abs4 $$\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile$$

10. anonymous

Aw dang @hartnn you're like late.

11. hartnn

lol! late for what?

12. anonymous

The welcome comes first, so that the person who answers the question looks more awesome.

13. anonymous