# Integration Help

## Homework Statement

$$\int\frac{x^3 dx}{(x+1)^8}$$

## Homework Equations

None I can think of.

## The Attempt at a Solution

Hm..I just don't know where to start.

No substitution seems to be useful. (u=x+1, u=(x+1)^8).
I've tried pulling x out of the denominator to get:
$$\int\frac{x^3 dx}{x^8 (1+x^-1)^8}$$
but that doesn't help either..

This isn't really HW just one of 15 integrals I was given that I should be able to do...

Thanks in Advance for any hints on solving this.

Related Calculus and Beyond Homework Help News on Phys.org

## Homework Statement

$$\int\frac{x^3 dx}{(x+1)^8}$$

## Homework Equations

None I can think of.

## The Attempt at a Solution

Hm..I just don't know where to start.

No substitution seems to be useful. (u=x+1, u=(x+1)^8).
I've tried pulling x out of the denominator to get:
$$\int\frac{x^3 dx}{x^8 (1+x^-1)^8}$$
but that doesn't help either..

This isn't really HW just one of 15 integrals I was given that I should be able to do...

Thanks in Advance for any hints on solving this.
Cal 2? b/c i can't even go at it, i've only completed Cal 1.

Yep, Calc 2.

I "think" I could do partial fractions but...8 variables to find? and then 8 integrals of increasing power on the denominator. I think there should be an easier way...

Yep, Calc 2.

I "think" I could do partial fractions but...8 variables to find? and then 8 integrals of increasing power on the denominator. I think there should be an easier way...
man i can't wait to be able to solve these types of problems :-]

i've missed it so much that i even did the even problems that weren't assigned for hw

Dick