- #1

jlmccart03

- 175

- 9

## Homework Statement

Integrate x

^{2}(2+x

^{3})

^{4}dx.

Show that Wolfram Alpha's answer is equivalent to your answer.

## Homework Equations

No equations besides knowing that the integral of x

^{power}is 1/power+1 * x

^{power + 1}

## The Attempt at a Solution

So I have the answer to the integral by hand as (2+x

^{3})

^{5})/15 + C.

When I go to Wolfram Alpha it gives x

^{15}/15 + 2x

^{12}/3 + 8x

^{9}/3 + 16x

^{6}/3 + 16x

^{3}/3 + C

I really truly have no idea how these two are the same. I tried multiple types of manipulation to my answer, but I am completely lost on where basically every factor comes from besides the first x

^{15}/15.

Any help will be appreciated!