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How do I solve this integral?

  • Thread starter Ocis
  • Start date
  • #1
24
0
Integrate [tex]\int[/tex] [tex]\frac{\left(5x - x^{2}\right)^{2}}{2}[/tex]

I have been going round in circles using the substitution of u = [tex]\left(5x - x^{2}\right)[/tex]

But it gets too complicated, where am I going wrong? I would really appreciate it if someone could please explain in stages what exactly I have to do.
Many thanks
 
Last edited:

Answers and Replies

  • #2
1,752
1
[tex]\frac 1 2\int(5x-x^2)^2dx[/tex]

Don't forget your dx.

Expand ... [tex](x-y)^2=x^2-2xy+y^2[/tex]
 
Last edited:
  • #3
24
0
Is the solution anywhere close to this?

[tex]\frac{\left(25x ^{3}\right)}{6}[/tex] [tex]-[/tex] [tex]\frac{\left(10x ^{4}\right)}{4}[/tex] [tex]+[/tex] [tex]\frac{\left(x ^{5}\right)}{5}[/tex]

Thanks,
 
  • #4
378
2
Last edited:
  • #5
24
0
Oh yeah of course it is, thanks to you all. Panic over!!
 

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