Help with Integrating: x^11 e^x / 5x^6

[confused88]

Homework Statement

Can Someone Please Help me integrate the following please...

Homework Equations

- $$\int$$ x^11 e^x $$/$$ 5x^6

The Attempt at a Solution

firstly i simplified it to...

-1/5 $$\int$$ x^5 e^x $$/$$ 5

Then i did integration by parts,
u = x^5, du = 5x^4, v= e^x, dv= e^x

So i got,

-1/5 [ x^5 e^x $$\int$$ e^x 5x^4 + C

-1/5 [x^5 e^x - x^5 e^x + C ]

= -1/5C


And this seems insanely wrong :(

Please let me know what I'm doing wrong

 

[Dunkle]

$$\int$$5x$$^{4}$$e$$^{x}$$dx $$\neq$$ x$$^{5}$$e$$^{x}$$+C

You're going to have to use integration by parts a few more times...

 

[confused88]

Is there an easier way to do it? Or is integration by parts the only way?

 

[Dunkle]

I'd say integration by parts is the best way if not the only way. It will be good practice! Good luck and remember to have fun :)

 

[confused88]

hehe okies thanks!