Integration: What Method to Use?

[naspek]

integration of x / ((x+1)^4)
i can't use integration by subs..
partial fraction will consume time to answer this question..
which integration method should i use?

 

[rock.freak667]

Try substitution instead, u=x+1

 

[naspek]

Try substitution instead, u=x+1

ok.. when u = x + 1 ; du = 1 dx

i should get du = x dx first..
but subs method didnt work..

 

[Tedjn]

Have faith, because it should work. If it still doesn't for you, post your work here.

 

[phsopher]

You don't need to get du=xdx. rockfreak's suggestion works fine, just try it. Alternatively you could do a partial integration.

 

[naspek]

got it!
(-1/2)(x+1)^-2 + (1/3)(x+1)^-3 + C.

what if i got x^2 / ((x+1)^4)

 

[Tedjn]

The same trick works. You should try it.

 

[naspek]

got it! thanks guys! =)