💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 81 Hard Difficulty

Show that $$ 0 \le \int^{10}_5 \frac{x^2}{x^4 + x^2 + 1} \, dx \le 0.1 $$ by comparing the integrand to a simpler function.



More Answers


You must be signed in to discuss.

Video Transcript

Okay. What we know is that we have integral from 5 to 10 0 DX and we know that this is less than the subsequent and into roles. I escorted her extra fourth plus X squared, plus one on one over X scored as given in the problem. What this tells us now is that this as well as Thean Tre from five to 10 1 over X Cordy ax. If we plug this end, we end up with one tent. We know that zero is indeed less than or equal to the integral from 5 to 10 ex court over axe to the fourth plus x squared, plus one which is less than or equal to 0.1.