Integral, an algebra problem actually

mattmns

This one has me baffled.

$$\frac{4}{3}\int_{0}^{1} x^8 \sqrt{1 + 4x^2 + 4x^4}dx$$

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.

Related Introductory Physics Homework Help News on Phys.org

George Jones

Staff Emeritus
Gold Member
The stuff under the square root forms a perfect square.

Regards,
George

mattmns

Pff, duhhh! $$(x^2 + \frac{1}{2})^2$$

Thanks!

sniffer

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.

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