## anonymous 4 years ago if the integral of : f(t) dt = 19 in the interval from [0,1] then calculate the integral of : f(2t) dt in the interval [0,0.5]

1. anonymous

i will guess $\frac{19}{2}$

2. anonymous

$\int_0^1f(x)dx=19$ put $u=2x,du=\frac{1}{2}dx,\frac{1}{2}du=dx, u(0)=0,u(1)=.5$ then get $\frac{1}{2}\int_0^.5f(u)du$