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## abs4 Group Title how to integrate when the power is -1 therefore the whole power comes as 0 2 years ago 2 years ago

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1. badreferences

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

2. abs4

yeah..:)

3. wio

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

4. badreferences

Yeah, what @wio said.

5. wio

Integration is just finding the anti-derivative!

6. abs4

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

7. badreferences

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

8. abs4

ok thanks! :)

9. hartnn

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

10. badreferences

Aw dang @hartnn you're like late.

11. hartnn

lol! late for what?

12. badreferences

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

13. badreferences

Like, "Welcome, but we already know the answer you plebe."

14. hartnn

oh, i didn't want to interrupt the explanation.....