## anonymous 5 years ago ∫[x(3x^2-2)^10,x]

1. anonymous

Anyone?

2. anonymous

After 10 there is a comma x what is that?

3. anonymous

its the integral with respect to x the , x is the Dx

4. anonymous

Are you familiar with u sub?

5. anonymous

yes i subed and got ( 3x^2-2)^10/66)

6. anonymous

but it doesnt look right i think

7. anonymous

I don't know how you would get that, but for your u -- your the derivative of your u should be available in the question. And u is usually in the bracket or under the radical or in the denominator something like that.

8. anonymous

( 3x^2-2)^11)/(66) *

9. anonymous

or ( u)^11/66) without re subing

10. anonymous

Oh yeah, I wasn't looking that far ahead.

11. anonymous

$\int\limits x(3x^2-2)^{10}dx \rightarrow u=3x^2-2, du=6xdx, \frac{du}{6x}=dx$ $\int\limits \frac{x(u)^{10}}{6x}du \rightarrow \frac{1}{6} \int\limits (u)^{10}du \rightarrow \frac{1}{66} u^{11}+c \rightarrow \frac{1}{66} (3x^2-2)^{11}+c$

12. anonymous

coo then its right then

13. anonymous

thank you both

14. anonymous

sure thing