I Can i find this integral in a simpler way

[giokrutoi]

∫x^2/(4x+1)^10 dx
i know that solving this is possible by partial fractions like A/4x+1 + (Bx+C)/(4x+1)^2 + (Dx+E)/(4x+1)^3
and so on but i would like to know if there is another way of solving this.

 

[mfb]

Partial integration can give you similar terms without solving large systems of equations.

 

[giokrutoi]

Partial integration can give you similar terms without solving large systems of equations.

i got it thank you very much

 

[fresh_42]

∫x^2/(4x+1)^10 dx
i know that solving this is possible by partial fractions like A/4x+1 + (Bx+C)/(4x+1)^2 + (Dx+E)/(4x+1)^3
and so on but i would like to know if there is another way of solving this.

I would substitute $4x+1=u$ which makes the entire quotients a lot easier.

 

[giokrutoi]

I would substitute $4x+1=u$ which makes the entire quotients a lot easier.

yes that is another good approach thanks very much