• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Integral, an algebra problem actually

  • Thread starter mattmns
  • Start date
1,062
6
This one has me baffled.

[tex]\frac{4}{3}\int_{0}^{1} x^8 \sqrt{1 + 4x^2 + 4x^4}dx[/tex]

Any ideas would be great, I am thinking maybe a trig substitution, but I have yet to figure out how to simplify this thing first. Thanks.
 

George Jones

Staff Emeritus
Science Advisor
Gold Member
7,226
776
The stuff under the square root forms a perfect square.

Regards,
George
 
1,062
6
Pff, duhhh! [tex] (x^2 + \frac{1}{2})^2 [/tex]

Thanks!
 
112
0
i did this type of problem before but a multiple choice questions, and there is no matched answer.

later i discovered they used the negative solution, since square root gives positive and negative. so be careful.
 

Related Threads for: Integral, an algebra problem actually

Replies
5
Views
9K
Replies
1
Views
1K
Replies
1
Views
1K
Replies
2
Views
532
Replies
2
Views
5K
  • Posted
Replies
19
Views
26K
Replies
6
Views
787

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top