- #1
roam
- 1,271
- 12
Homework Statement
This is part of a larger problem about finding the distance traveled by the particle over the interval 0≤t≤3. I need to solve the integral
[itex]\int^3_0 \sqrt{t^4+t^2} \ dt[/itex]
The Attempt at a Solution
So, is it correct to rewrite [itex]\sqrt{t^4+t^2}[/itex] as [itex]t \sqrt{t^2+1}[/itex] and then use integration by parts?
I'm confused because when I use Wolfarm online integrator to evaluate
[itex]\int \ \sqrt{t^4+t^2} = \frac{(t^2+1) \sqrt{t^4+x^2}}{3t}[/itex]
But when I use the other expression I get:
[itex]\int \ t \sqrt{t^2+1} = \frac{1}{3} (t^2+1)^{3/2}[/itex]
So which one is correct?