Question

∫[x(3x^2-2)^10,x]

Answer 1

Anyone?

Answer 2

After 10 there is a comma x what is that?

Answer 3

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

Answer 4

Are you familiar with u sub?

Answer 5

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

Answer 6

but it doesnt look right i think

Answer 7

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.

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

coo then its right then

Answer 13

thank you both

Answer 14

sure thing