# Integrating complicated square roots without a calculator

• May 2nd 2010, 01:43 PM
mathnoob819
Integrating complicated square roots without a calculator
Well, it is complicated for me at least. Im am in calculus three at my university and struggle with the basics of integrals because they seemed to have slipped my mind, even U SUB.

But how do i integrate Sqrt(4t^2 + 16t^4)?

Thank you for any help!
• May 2nd 2010, 01:45 PM
$\int \sqrt{4t^2 + 16t^4} = \int 2t\sqrt{1+4t^2}$ (assuming t>0). Now let $u=4t^2$.