# Thread: Finding Indefinite Integral

1. ## Finding Indefinite Integral

(Integration symbol)((x^3)-3)^5 * x^3

Totally confused on where to even begin...I think I can substitute u, but not sure...

I think I solved it...

(((x^4-3)^6)/24) + C

Is that right?

2. Originally Posted by tradar
(Integration symbol)((x^3)-3)^5 * x^3

Totally confused on where to even begin...I think I can substitute u, but not sure...

I think I solved it...

(((x^4-3)^6)/24) + C

Is that right?
it is correct if the original integral was $\int (x^4-3)^5 \cdot x^3 \, dx$

was that a typo above?

3. If it was, in fact, $\int (x^3-3)^5 x^3 dx$, then the best way to integrate it is to multiply it out and integrate term by term.