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## anonymous 5 years ago What is the integral of √x-1? I'm really behind my class and if someone could help explain this to me, I'd really appreciate it!

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1. amistre64

18 more loki....come on!! you can do it ;)

2. anonymous

When you have a linear expression like,$(ax+b)^{n}$the solution will take the form,$\int\limits_{}{}(ax+b)^{n}=\frac{1}{a}\frac{(ax+b)^{n+1}}{n+1}$

3. anonymous

No need to waste time with a substitution like, u=x+1.

4. anonymous

hehe, amstre :)

5. anonymous

You can always check the result of your integration by differentiating the answer and comparing it with the integrand (the 'stuff' under the integral sign).

6. anonymous

Your case, the answer is$\frac{2}{3}(x-1)^{3/2}+c$

7. anonymous

I left out the constant on the general solution.

8. anonymous

I'm assuming your integral was $\int\limits_{}{}\sqrt{x-1}dx$

9. anonymous

Yes, thank you so much. That helps a ton. I apologize for being offline when I should have been on, as well. Things got out of control here on my end and I had to go help. Thank you!

10. anonymous

You're welcome :)

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