integrate √((2t)^2 + (2t)^2) = 2√2 t

Question

I got 5 square root of 2, is this right?

Answer 1

Better be more careful with those - signs
f(t) = ∫2√2 t dt = √2 t^2
f(2)-f(1) = √2 (4-1)
not √2 (4+1)